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Finding the Fourth Proportional to 560.47, 771.84 and 558.64

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Solution

The fourth proportional to 560.47, 771.84 and 558.64 is: 769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.47 : 771.84 = 558.64 : x
  2. Step 2: Convert to fraction form
    560.47/771.84 = 558.64/x
  3. Step 3: Cross multiply
    560.47x = 771.84 × 558.64
  4. Step 4: Simplify right side
    560.47x = 431,177.90
  5. Step 5: Solve for x
    x = 431,177.90/560.47
  6. Step 6: Final answer
    x = 769.32

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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.