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Finding the Fourth Proportional to 562.40, 844.08 and 418.40

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Solution

The fourth proportional to 562.40, 844.08 and 418.40 is: 627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.40 : 844.08 = 418.40 : x
  2. Step 2: Convert to fraction form
    562.40/844.08 = 418.40/x
  3. Step 3: Cross multiply
    562.40x = 844.08 × 418.40
  4. Step 4: Simplify right side
    562.40x = 353,163.07
  5. Step 5: Solve for x
    x = 353,163.07/562.40
  6. Step 6: Final answer
    x = 627.96

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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.