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Finding the Fourth Proportional to 715.14, 1,072.08 and 282

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Solution

The fourth proportional to 715.14, 1,072.08 and 282 is: 422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.14 : 1,072.08 = 282 : x
  2. Step 2: Convert to fraction form
    715.14/1,072.08 = 282/x
  3. Step 3: Cross multiply
    715.14x = 1,072.08 × 282
  4. Step 4: Simplify right side
    715.14x = 302,326.56
  5. Step 5: Solve for x
    x = 302,326.56/715.14
  6. Step 6: Final answer
    x = 422.75

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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.