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Finding the Fourth Proportional to 560.38, 773.80 and 535.32

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Solution

The fourth proportional to 560.38, 773.80 and 535.32 is: 739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.38 : 773.80 = 535.32 : x
  2. Step 2: Convert to fraction form
    560.38/773.80 = 535.32/x
  3. Step 3: Cross multiply
    560.38x = 773.80 × 535.32
  4. Step 4: Simplify right side
    560.38x = 414,233.94
  5. Step 5: Solve for x
    x = 414,233.94/560.38
  6. Step 6: Final answer
    x = 739.21

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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.