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Finding the Fourth Proportional to 562.01, 842.34 and 253.56

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Solution

The fourth proportional to 562.01, 842.34 and 253.56 is: 380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.01 : 842.34 = 253.56 : x
  2. Step 2: Convert to fraction form
    562.01/842.34 = 253.56/x
  3. Step 3: Cross multiply
    562.01x = 842.34 × 253.56
  4. Step 4: Simplify right side
    562.01x = 213,578.95
  5. Step 5: Solve for x
    x = 213,578.95/562.01
  6. Step 6: Final answer
    x = 380.02

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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.