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Finding the Fourth Proportional to 595.52, 892.88 and 400.24

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Solution

The fourth proportional to 595.52, 892.88 and 400.24 is: 600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.52 : 892.88 = 400.24 : x
  2. Step 2: Convert to fraction form
    595.52/892.88 = 400.24/x
  3. Step 3: Cross multiply
    595.52x = 892.88 × 400.24
  4. Step 4: Simplify right side
    595.52x = 357,366.29
  5. Step 5: Solve for x
    x = 357,366.29/595.52
  6. Step 6: Final answer
    x = 600.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.