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Finding the Fourth Proportional to 524.04, 723.66 and 337.85

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Solution

The fourth proportional to 524.04, 723.66 and 337.85 is: 466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.04 : 723.66 = 337.85 : x
  2. Step 2: Convert to fraction form
    524.04/723.66 = 337.85/x
  3. Step 3: Cross multiply
    524.04x = 723.66 × 337.85
  4. Step 4: Simplify right side
    524.04x = 244,488.53
  5. Step 5: Solve for x
    x = 244,488.53/524.04
  6. Step 6: Final answer
    x = 466.55

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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.