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Finding the Fourth Proportional to 560.30, 773.22 and 311.68

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Solution

The fourth proportional to 560.30, 773.22 and 311.68 is: 430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.30 : 773.22 = 311.68 : x
  2. Step 2: Convert to fraction form
    560.30/773.22 = 311.68/x
  3. Step 3: Cross multiply
    560.30x = 773.22 × 311.68
  4. Step 4: Simplify right side
    560.30x = 240,997.21
  5. Step 5: Solve for x
    x = 240,997.21/560.30
  6. Step 6: Final answer
    x = 430.12

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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.