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Finding the Fourth Proportional to 560.98, 773.76 and 374.38

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Solution

The fourth proportional to 560.98, 773.76 and 374.38 is: 516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.98 : 773.76 = 374.38 : x
  2. Step 2: Convert to fraction form
    560.98/773.76 = 374.38/x
  3. Step 3: Cross multiply
    560.98x = 773.76 × 374.38
  4. Step 4: Simplify right side
    560.98x = 289,680.27
  5. Step 5: Solve for x
    x = 289,680.27/560.98
  6. Step 6: Final answer
    x = 516.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.