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Finding the Fourth Proportional to 524.86, 724.26 and 291.97

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Solution

The fourth proportional to 524.86, 724.26 and 291.97 is: 402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.86 : 724.26 = 291.97 : x
  2. Step 2: Convert to fraction form
    524.86/724.26 = 291.97/x
  3. Step 3: Cross multiply
    524.86x = 724.26 × 291.97
  4. Step 4: Simplify right side
    524.86x = 211,462.19
  5. Step 5: Solve for x
    x = 211,462.19/524.86
  6. Step 6: Final answer
    x = 402.89

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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.