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Finding the Fourth Proportional to 616.76, 851.24 and 368.29

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Solution

The fourth proportional to 616.76, 851.24 and 368.29 is: 508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.76 : 851.24 = 368.29 : x
  2. Step 2: Convert to fraction form
    616.76/851.24 = 368.29/x
  3. Step 3: Cross multiply
    616.76x = 851.24 × 368.29
  4. Step 4: Simplify right side
    616.76x = 313,505.16
  5. Step 5: Solve for x
    x = 313,505.16/616.76
  6. Step 6: Final answer
    x = 508.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.