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Finding the Fourth Proportional to 402.12, 554.07 and 291.24

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Solution

The fourth proportional to 402.12, 554.07 and 291.24 is: 401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.12 : 554.07 = 291.24 : x
  2. Step 2: Convert to fraction form
    402.12/554.07 = 291.24/x
  3. Step 3: Cross multiply
    402.12x = 554.07 × 291.24
  4. Step 4: Simplify right side
    402.12x = 161,367.35
  5. Step 5: Solve for x
    x = 161,367.35/402.12
  6. Step 6: Final answer
    x = 401.29

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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.