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Finding the Fourth Proportional to 501.05, 691.45 and 291.24

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Solution

The fourth proportional to 501.05, 691.45 and 291.24 is: 401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.05 : 691.45 = 291.24 : x
  2. Step 2: Convert to fraction form
    501.05/691.45 = 291.24/x
  3. Step 3: Cross multiply
    501.05x = 691.45 × 291.24
  4. Step 4: Simplify right side
    501.05x = 201,377.17
  5. Step 5: Solve for x
    x = 201,377.17/501.05
  6. Step 6: Final answer
    x = 401.91

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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.