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Finding the Fourth Proportional to 560.24, 772.76 and 422

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Solution

The fourth proportional to 560.24, 772.76 and 422 is: 582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.24 : 772.76 = 422 : x
  2. Step 2: Convert to fraction form
    560.24/772.76 = 422/x
  3. Step 3: Cross multiply
    560.24x = 772.76 × 422
  4. Step 4: Simplify right side
    560.24x = 326,104.72
  5. Step 5: Solve for x
    x = 326,104.72/560.24
  6. Step 6: Final answer
    x = 582.08

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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.