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Finding the Fourth Proportional to 560.92, 840.30 and 458.32

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Solution

The fourth proportional to 560.92, 840.30 and 458.32 is: 686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.92 : 840.30 = 458.32 : x
  2. Step 2: Convert to fraction form
    560.92/840.30 = 458.32/x
  3. Step 3: Cross multiply
    560.92x = 840.30 × 458.32
  4. Step 4: Simplify right side
    560.92x = 385,126.30
  5. Step 5: Solve for x
    x = 385,126.30/560.92
  6. Step 6: Final answer
    x = 686.60

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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.