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Finding the Fourth Proportional to 715.29, 1,072.12 and 304.17

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Solution

The fourth proportional to 715.29, 1,072.12 and 304.17 is: 455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.29 : 1,072.12 = 304.17 : x
  2. Step 2: Convert to fraction form
    715.29/1,072.12 = 304.17/x
  3. Step 3: Cross multiply
    715.29x = 1,072.12 × 304.17
  4. Step 4: Simplify right side
    715.29x = 326,106.74
  5. Step 5: Solve for x
    x = 326,106.74/715.29
  6. Step 6: Final answer
    x = 455.91

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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.