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Finding the Fourth Proportional to 715.51, 1,073.17 and 253.30

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Solution

The fourth proportional to 715.51, 1,073.17 and 253.30 is: 379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.51 : 1,073.17 = 253.30 : x
  2. Step 2: Convert to fraction form
    715.51/1,073.17 = 253.30/x
  3. Step 3: Cross multiply
    715.51x = 1,073.17 × 253.30
  4. Step 4: Simplify right side
    715.51x = 271,833.96
  5. Step 5: Solve for x
    x = 271,833.96/715.51
  6. Step 6: Final answer
    x = 379.92

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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.