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Finding the Fourth Proportional to 561.28, 773.80 and 404.04

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Solution

The fourth proportional to 561.28, 773.80 and 404.04 is: 557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.28 : 773.80 = 404.04 : x
  2. Step 2: Convert to fraction form
    561.28/773.80 = 404.04/x
  3. Step 3: Cross multiply
    561.28x = 773.80 × 404.04
  4. Step 4: Simplify right side
    561.28x = 312,646.15
  5. Step 5: Solve for x
    x = 312,646.15/561.28
  6. Step 6: Final answer
    x = 557.02

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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.