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Finding the Fourth Proportional to 714.48, 1,072 and 349.22

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Solution

The fourth proportional to 714.48, 1,072 and 349.22 is: 523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.48 : 1,072 = 349.22 : x
  2. Step 2: Convert to fraction form
    714.48/1,072 = 349.22/x
  3. Step 3: Cross multiply
    714.48x = 1,072 × 349.22
  4. Step 4: Simplify right side
    714.48x = 374,363.84
  5. Step 5: Solve for x
    x = 374,363.84/714.48
  6. Step 6: Final answer
    x = 523.97

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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.