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Finding the Fourth Proportional to 697.48, 1,046.57 and 327.41

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Solution

The fourth proportional to 697.48, 1,046.57 and 327.41 is: 491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.48 : 1,046.57 = 327.41 : x
  2. Step 2: Convert to fraction form
    697.48/1,046.57 = 327.41/x
  3. Step 3: Cross multiply
    697.48x = 1,046.57 × 327.41
  4. Step 4: Simplify right side
    697.48x = 342,650.61
  5. Step 5: Solve for x
    x = 342,650.61/697.48
  6. Step 6: Final answer
    x = 491.27

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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.