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Finding the Fourth Proportional to 523.92, 722.34 and 404.40

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Solution

The fourth proportional to 523.92, 722.34 and 404.40 is: 557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.92 : 722.34 = 404.40 : x
  2. Step 2: Convert to fraction form
    523.92/722.34 = 404.40/x
  3. Step 3: Cross multiply
    523.92x = 722.34 × 404.40
  4. Step 4: Simplify right side
    523.92x = 292,114.30
  5. Step 5: Solve for x
    x = 292,114.30/523.92
  6. Step 6: Final answer
    x = 557.56

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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.