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Finding the Fourth Proportional to 715.46, 1,073.17 and 304.39

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Solution

The fourth proportional to 715.46, 1,073.17 and 304.39 is: 456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.46 : 1,073.17 = 304.39 : x
  2. Step 2: Convert to fraction form
    715.46/1,073.17 = 304.39/x
  3. Step 3: Cross multiply
    715.46x = 1,073.17 × 304.39
  4. Step 4: Simplify right side
    715.46x = 326,662.22
  5. Step 5: Solve for x
    x = 326,662.22/715.46
  6. Step 6: Final answer
    x = 456.58

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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.