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Finding the Fourth Proportional to 878.44, 1,317.35 and 385.09

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Solution

The fourth proportional to 878.44, 1,317.35 and 385.09 is: 577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.44 : 1,317.35 = 385.09 : x
  2. Step 2: Convert to fraction form
    878.44/1,317.35 = 385.09/x
  3. Step 3: Cross multiply
    878.44x = 1,317.35 × 385.09
  4. Step 4: Simplify right side
    878.44x = 507,295.26
  5. Step 5: Solve for x
    x = 507,295.26/878.44
  6. Step 6: Final answer
    x = 577.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.