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Finding the Fourth Proportional to 560.20, 773.06 and 353

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Solution

The fourth proportional to 560.20, 773.06 and 353 is: 487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.20 : 773.06 = 353 : x
  2. Step 2: Convert to fraction form
    560.20/773.06 = 353/x
  3. Step 3: Cross multiply
    560.20x = 773.06 × 353
  4. Step 4: Simplify right side
    560.20x = 272,890.18
  5. Step 5: Solve for x
    x = 272,890.18/560.20
  6. Step 6: Final answer
    x = 487.13

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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.