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Finding the Fourth Proportional to 524.13, 723.29 and 291.30

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Solution

The fourth proportional to 524.13, 723.29 and 291.30 is: 401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.13 : 723.29 = 291.30 : x
  2. Step 2: Convert to fraction form
    524.13/723.29 = 291.30/x
  3. Step 3: Cross multiply
    524.13x = 723.29 × 291.30
  4. Step 4: Simplify right side
    524.13x = 210,694.38
  5. Step 5: Solve for x
    x = 210,694.38/524.13
  6. Step 6: Final answer
    x = 401.99

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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.