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Finding the Fourth Proportional to 562.60, 842.46 and 546.18

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Solution

The fourth proportional to 562.60, 842.46 and 546.18 is: 817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.60 : 842.46 = 546.18 : x
  2. Step 2: Convert to fraction form
    562.60/842.46 = 546.18/x
  3. Step 3: Cross multiply
    562.60x = 842.46 × 546.18
  4. Step 4: Simplify right side
    562.60x = 460,134.80
  5. Step 5: Solve for x
    x = 460,134.80/562.60
  6. Step 6: Final answer
    x = 817.87

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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.