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Finding the Fourth Proportional to 562.32, 844.02 and 417.60

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Solution

The fourth proportional to 562.32, 844.02 and 417.60 is: 626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.32 : 844.02 = 417.60 : x
  2. Step 2: Convert to fraction form
    562.32/844.02 = 417.60/x
  3. Step 3: Cross multiply
    562.32x = 844.02 × 417.60
  4. Step 4: Simplify right side
    562.32x = 352,462.75
  5. Step 5: Solve for x
    x = 352,462.75/562.32
  6. Step 6: Final answer
    x = 626.80

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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.