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Finding the Fourth Proportional to 418.64, 624.21 and 402.59

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Solution

The fourth proportional to 418.64, 624.21 and 402.59 is: 600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.64 : 624.21 = 402.59 : x
  2. Step 2: Convert to fraction form
    418.64/624.21 = 402.59/x
  3. Step 3: Cross multiply
    418.64x = 624.21 × 402.59
  4. Step 4: Simplify right side
    418.64x = 251,300.70
  5. Step 5: Solve for x
    x = 251,300.70/418.64
  6. Step 6: Final answer
    x = 600.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.