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Finding the Fourth Proportional to 715.44, 1,072.71 and 304.35

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Solution

The fourth proportional to 715.44, 1,072.71 and 304.35 is: 456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.44 : 1,072.71 = 304.35 : x
  2. Step 2: Convert to fraction form
    715.44/1,072.71 = 304.35/x
  3. Step 3: Cross multiply
    715.44x = 1,072.71 × 304.35
  4. Step 4: Simplify right side
    715.44x = 326,479.29
  5. Step 5: Solve for x
    x = 326,479.29/715.44
  6. Step 6: Final answer
    x = 456.33

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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.