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Finding the Fourth Proportional to 562.79, 844.10 and 172.70

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Solution

The fourth proportional to 562.79, 844.10 and 172.70 is: 259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.79 : 844.10 = 172.70 : x
  2. Step 2: Convert to fraction form
    562.79/844.10 = 172.70/x
  3. Step 3: Cross multiply
    562.79x = 844.10 × 172.70
  4. Step 4: Simplify right side
    562.79x = 145,777.32
  5. Step 5: Solve for x
    x = 145,777.32/562.79
  6. Step 6: Final answer
    x = 259.02

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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.