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Finding the Fourth Proportional to 402.18, 555.50 and 291.48

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Solution

The fourth proportional to 402.18, 555.50 and 291.48 is: 402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.18 : 555.50 = 291.48 : x
  2. Step 2: Convert to fraction form
    402.18/555.50 = 291.48/x
  3. Step 3: Cross multiply
    402.18x = 555.50 × 291.48
  4. Step 4: Simplify right side
    402.18x = 161,917.14
  5. Step 5: Solve for x
    x = 161,917.14/402.18
  6. Step 6: Final answer
    x = 402.60

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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.