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Finding the Fourth Proportional to 560.16, 839.34 and 516.06

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Solution

The fourth proportional to 560.16, 839.34 and 516.06 is: 773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.16 : 839.34 = 516.06 : x
  2. Step 2: Convert to fraction form
    560.16/839.34 = 516.06/x
  3. Step 3: Cross multiply
    560.16x = 839.34 × 516.06
  4. Step 4: Simplify right side
    560.16x = 433,149.80
  5. Step 5: Solve for x
    x = 433,149.80/560.16
  6. Step 6: Final answer
    x = 773.26

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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.