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Finding the Fourth Proportional to 524.81, 724.23 and 288.78

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Solution

The fourth proportional to 524.81, 724.23 and 288.78 is: 398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.81 : 724.23 = 288.78 : x
  2. Step 2: Convert to fraction form
    524.81/724.23 = 288.78/x
  3. Step 3: Cross multiply
    524.81x = 724.23 × 288.78
  4. Step 4: Simplify right side
    524.81x = 209,143.14
  5. Step 5: Solve for x
    x = 209,143.14/524.81
  6. Step 6: Final answer
    x = 398.52

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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.