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Finding the Fourth Proportional to 560.09, 772.89 and 311.41

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Solution

The fourth proportional to 560.09, 772.89 and 311.41 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.09 : 772.89 = 311.41 : x
  2. Step 2: Convert to fraction form
    560.09/772.89 = 311.41/x
  3. Step 3: Cross multiply
    560.09x = 772.89 × 311.41
  4. Step 4: Simplify right side
    560.09x = 240,684.12
  5. Step 5: Solve for x
    x = 240,684.12/560.09
  6. Step 6: Final answer
    x = 429.72

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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.