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Finding the Fourth Proportional to 715.08, 1,072.68 and 282.24

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Solution

The fourth proportional to 715.08, 1,072.68 and 282.24 is: 423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.08 : 1,072.68 = 282.24 : x
  2. Step 2: Convert to fraction form
    715.08/1,072.68 = 282.24/x
  3. Step 3: Cross multiply
    715.08x = 1,072.68 × 282.24
  4. Step 4: Simplify right side
    715.08x = 302,753.20
  5. Step 5: Solve for x
    x = 302,753.20/715.08
  6. Step 6: Final answer
    x = 423.38

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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.