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Finding the Fourth Proportional to 524.41, 723.54 and 337.92

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Solution

The fourth proportional to 524.41, 723.54 and 337.92 is: 466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.41 : 723.54 = 337.92 : x
  2. Step 2: Convert to fraction form
    524.41/723.54 = 337.92/x
  3. Step 3: Cross multiply
    524.41x = 723.54 × 337.92
  4. Step 4: Simplify right side
    524.41x = 244,498.64
  5. Step 5: Solve for x
    x = 244,498.64/524.41
  6. Step 6: Final answer
    x = 466.24

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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.