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Finding the Fourth Proportional to 524.20, 723.42 and 291.34

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Solution

The fourth proportional to 524.20, 723.42 and 291.34 is: 402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.20 : 723.42 = 291.34 : x
  2. Step 2: Convert to fraction form
    524.20/723.42 = 291.34/x
  3. Step 3: Cross multiply
    524.20x = 723.42 × 291.34
  4. Step 4: Simplify right side
    524.20x = 210,761.18
  5. Step 5: Solve for x
    x = 210,761.18/524.20
  6. Step 6: Final answer
    x = 402.06

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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.