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Finding the Fourth Proportional to 402.88, 555.90 and 348.04

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Solution

The fourth proportional to 402.88, 555.90 and 348.04 is: 480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.88 : 555.90 = 348.04 : x
  2. Step 2: Convert to fraction form
    402.88/555.90 = 348.04/x
  3. Step 3: Cross multiply
    402.88x = 555.90 × 348.04
  4. Step 4: Simplify right side
    402.88x = 193,475.44
  5. Step 5: Solve for x
    x = 193,475.44/402.88
  6. Step 6: Final answer
    x = 480.23

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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.