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Finding the Fourth Proportional to 612.80, 919.86 and 339.42

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Solution

The fourth proportional to 612.80, 919.86 and 339.42 is: 509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.80 : 919.86 = 339.42 : x
  2. Step 2: Convert to fraction form
    612.80/919.86 = 339.42/x
  3. Step 3: Cross multiply
    612.80x = 919.86 × 339.42
  4. Step 4: Simplify right side
    612.80x = 312,221.06
  5. Step 5: Solve for x
    x = 312,221.06/612.80
  6. Step 6: Final answer
    x = 509.50

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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.