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Finding the Fourth Proportional to 560.96, 840.99 and 398.24

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Solution

The fourth proportional to 560.96, 840.99 and 398.24 is: 597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.96 : 840.99 = 398.24 : x
  2. Step 2: Convert to fraction form
    560.96/840.99 = 398.24/x
  3. Step 3: Cross multiply
    560.96x = 840.99 × 398.24
  4. Step 4: Simplify right side
    560.96x = 334,915.86
  5. Step 5: Solve for x
    x = 334,915.86/560.96
  6. Step 6: Final answer
    x = 597.04

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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.