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Finding the Fourth Proportional to 614.93, 922.52 and 355.10

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Solution

The fourth proportional to 614.93, 922.52 and 355.10 is: 532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.93 : 922.52 = 355.10 : x
  2. Step 2: Convert to fraction form
    614.93/922.52 = 355.10/x
  3. Step 3: Cross multiply
    614.93x = 922.52 × 355.10
  4. Step 4: Simplify right side
    614.93x = 327,583.13
  5. Step 5: Solve for x
    x = 327,583.13/614.93
  6. Step 6: Final answer
    x = 532.72

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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.