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Finding the Fourth Proportional to 560.26, 773.14 and 311.58

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Solution

The fourth proportional to 560.26, 773.14 and 311.58 is: 429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.26 : 773.14 = 311.58 : x
  2. Step 2: Convert to fraction form
    560.26/773.14 = 311.58/x
  3. Step 3: Cross multiply
    560.26x = 773.14 × 311.58
  4. Step 4: Simplify right side
    560.26x = 240,894.96
  5. Step 5: Solve for x
    x = 240,894.96/560.26
  6. Step 6: Final answer
    x = 429.97

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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.