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Finding the Fourth Proportional to 715.38, 1,073.36 and 253.22

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Solution

The fourth proportional to 715.38, 1,073.36 and 253.22 is: 379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.38 : 1,073.36 = 253.22 : x
  2. Step 2: Convert to fraction form
    715.38/1,073.36 = 253.22/x
  3. Step 3: Cross multiply
    715.38x = 1,073.36 × 253.22
  4. Step 4: Simplify right side
    715.38x = 271,796.22
  5. Step 5: Solve for x
    x = 271,796.22/715.38
  6. Step 6: Final answer
    x = 379.93

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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.