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Finding the Fourth Proportional to 402.45, 555.30 and 291.71

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Solution

The fourth proportional to 402.45, 555.30 and 291.71 is: 402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.45 : 555.30 = 291.71 : x
  2. Step 2: Convert to fraction form
    402.45/555.30 = 291.71/x
  3. Step 3: Cross multiply
    402.45x = 555.30 × 291.71
  4. Step 4: Simplify right side
    402.45x = 161,983.79
  5. Step 5: Solve for x
    x = 161,983.79/402.45
  6. Step 6: Final answer
    x = 402.49

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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.