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Finding the Fourth Proportional to 402.88, 602.88 and 240.64

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Solution

The fourth proportional to 402.88, 602.88 and 240.64 is: 360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.88 : 602.88 = 240.64 : x
  2. Step 2: Convert to fraction form
    402.88/602.88 = 240.64/x
  3. Step 3: Cross multiply
    402.88x = 602.88 × 240.64
  4. Step 4: Simplify right side
    402.88x = 145,077.04
  5. Step 5: Solve for x
    x = 145,077.04/402.88
  6. Step 6: Final answer
    x = 360.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.