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Finding the Fourth Proportional to 562.60, 844.05 and 172.59

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Solution

The fourth proportional to 562.60, 844.05 and 172.59 is: 258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.60 : 844.05 = 172.59 : x
  2. Step 2: Convert to fraction form
    562.60/844.05 = 172.59/x
  3. Step 3: Cross multiply
    562.60x = 844.05 × 172.59
  4. Step 4: Simplify right side
    562.60x = 145,674.59
  5. Step 5: Solve for x
    x = 145,674.59/562.60
  6. Step 6: Final answer
    x = 258.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.