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Finding the Fourth Proportional to 524.48, 723.75 and 291.61

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Solution

The fourth proportional to 524.48, 723.75 and 291.61 is: 402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.48 : 723.75 = 291.61 : x
  2. Step 2: Convert to fraction form
    524.48/723.75 = 291.61/x
  3. Step 3: Cross multiply
    524.48x = 723.75 × 291.61
  4. Step 4: Simplify right side
    524.48x = 211,052.74
  5. Step 5: Solve for x
    x = 211,052.74/524.48
  6. Step 6: Final answer
    x = 402.40

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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.