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Finding the Fourth Proportional to 501.24, 691.62 and 291.43

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Solution

The fourth proportional to 501.24, 691.62 and 291.43 is: 402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.24 : 691.62 = 291.43 : x
  2. Step 2: Convert to fraction form
    501.24/691.62 = 291.43/x
  3. Step 3: Cross multiply
    501.24x = 691.62 × 291.43
  4. Step 4: Simplify right side
    501.24x = 201,557.09
  5. Step 5: Solve for x
    x = 201,557.09/501.24
  6. Step 6: Final answer
    x = 402.12

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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.