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Finding the Fourth Proportional to 524.79, 723.96 and 375.42

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Solution

The fourth proportional to 524.79, 723.96 and 375.42 is: 517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.79 : 723.96 = 375.42 : x
  2. Step 2: Convert to fraction form
    524.79/723.96 = 375.42/x
  3. Step 3: Cross multiply
    524.79x = 723.96 × 375.42
  4. Step 4: Simplify right side
    524.79x = 271,789.06
  5. Step 5: Solve for x
    x = 271,789.06/524.79
  6. Step 6: Final answer
    x = 517.90

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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.