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Finding the Fourth Proportional to 508.72, 766.19 and 476.32

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Solution

The fourth proportional to 508.72, 766.19 and 476.32 is: 717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.72 : 766.19 = 476.32 : x
  2. Step 2: Convert to fraction form
    508.72/766.19 = 476.32/x
  3. Step 3: Cross multiply
    508.72x = 766.19 × 476.32
  4. Step 4: Simplify right side
    508.72x = 364,951.62
  5. Step 5: Solve for x
    x = 364,951.62/508.72
  6. Step 6: Final answer
    x = 717.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.