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Finding the Fourth Proportional to 613.04, 919.56 and 180.24

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Solution

The fourth proportional to 613.04, 919.56 and 180.24 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.04 : 919.56 = 180.24 : x
  2. Step 2: Convert to fraction form
    613.04/919.56 = 180.24/x
  3. Step 3: Cross multiply
    613.04x = 919.56 × 180.24
  4. Step 4: Simplify right side
    613.04x = 165,741.49
  5. Step 5: Solve for x
    x = 165,741.49/613.04
  6. Step 6: Final answer
    x = 270.36

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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.