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Finding the Fourth Proportional to 715.28, 1,073.39 and 253.05

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Solution

The fourth proportional to 715.28, 1,073.39 and 253.05 is: 379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.28 : 1,073.39 = 253.05 : x
  2. Step 2: Convert to fraction form
    715.28/1,073.39 = 253.05/x
  3. Step 3: Cross multiply
    715.28x = 1,073.39 × 253.05
  4. Step 4: Simplify right side
    715.28x = 271,621.34
  5. Step 5: Solve for x
    x = 271,621.34/715.28
  6. Step 6: Final answer
    x = 379.74

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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.