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Finding the Fourth Proportional to 524.32, 723.52 and 291.48

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Solution

The fourth proportional to 524.32, 723.52 and 291.48 is: 402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.32 : 723.52 = 291.48 : x
  2. Step 2: Convert to fraction form
    524.32/723.52 = 291.48/x
  3. Step 3: Cross multiply
    524.32x = 723.52 × 291.48
  4. Step 4: Simplify right side
    524.32x = 210,891.61
  5. Step 5: Solve for x
    x = 210,891.61/524.32
  6. Step 6: Final answer
    x = 402.22

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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.