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Finding the Fourth Proportional to 562.38, 842.40 and 305.34

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Solution

The fourth proportional to 562.38, 842.40 and 305.34 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.38 : 842.40 = 305.34 : x
  2. Step 2: Convert to fraction form
    562.38/842.40 = 305.34/x
  3. Step 3: Cross multiply
    562.38x = 842.40 × 305.34
  4. Step 4: Simplify right side
    562.38x = 257,218.42
  5. Step 5: Solve for x
    x = 257,218.42/562.38
  6. Step 6: Final answer
    x = 457.37

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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.