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Finding the Fourth Proportional to 560.24, 773.05 and 311.52

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Solution

The fourth proportional to 560.24, 773.05 and 311.52 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.24 : 773.05 = 311.52 : x
  2. Step 2: Convert to fraction form
    560.24/773.05 = 311.52/x
  3. Step 3: Cross multiply
    560.24x = 773.05 × 311.52
  4. Step 4: Simplify right side
    560.24x = 240,816.67
  5. Step 5: Solve for x
    x = 240,816.67/560.24
  6. Step 6: Final answer
    x = 429.85

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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.