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Finding the Fourth Proportional to 616.40, 922.94 and 508.68

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Solution

The fourth proportional to 616.40, 922.94 and 508.68 is: 761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.40 : 922.94 = 508.68 : x
  2. Step 2: Convert to fraction form
    616.40/922.94 = 508.68/x
  3. Step 3: Cross multiply
    616.40x = 922.94 × 508.68
  4. Step 4: Simplify right side
    616.40x = 469,481.12
  5. Step 5: Solve for x
    x = 469,481.12/616.40
  6. Step 6: Final answer
    x = 761.65

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