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Finding the Fourth Proportional to 717.34, 1,076.68 and 352.39

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Solution

The fourth proportional to 717.34, 1,076.68 and 352.39 is: 528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.34 : 1,076.68 = 352.39 : x
  2. Step 2: Convert to fraction form
    717.34/1,076.68 = 352.39/x
  3. Step 3: Cross multiply
    717.34x = 1,076.68 × 352.39
  4. Step 4: Simplify right side
    717.34x = 379,408.57
  5. Step 5: Solve for x
    x = 379,408.57/717.34
  6. Step 6: Final answer
    x = 528.91

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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.