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Finding the Fourth Proportional to 717.82, 1,077.35 and 328.41

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Solution

The fourth proportional to 717.82, 1,077.35 and 328.41 is: 492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.82 : 1,077.35 = 328.41 : x
  2. Step 2: Convert to fraction form
    717.82/1,077.35 = 328.41/x
  3. Step 3: Cross multiply
    717.82x = 1,077.35 × 328.41
  4. Step 4: Simplify right side
    717.82x = 353,810.87
  5. Step 5: Solve for x
    x = 353,810.87/717.82
  6. Step 6: Final answer
    x = 492.90

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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.