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Finding the Fourth Proportional to 714.96, 1,072.72 and 282.24

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Solution

The fourth proportional to 714.96, 1,072.72 and 282.24 is: 423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.96 : 1,072.72 = 282.24 : x
  2. Step 2: Convert to fraction form
    714.96/1,072.72 = 282.24/x
  3. Step 3: Cross multiply
    714.96x = 1,072.72 × 282.24
  4. Step 4: Simplify right side
    714.96x = 302,764.49
  5. Step 5: Solve for x
    x = 302,764.49/714.96
  6. Step 6: Final answer
    x = 423.47

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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.