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Finding the Fourth Proportional to 697.30, 1,044.53 and 330.98

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Solution

The fourth proportional to 697.30, 1,044.53 and 330.98 is: 495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.30 : 1,044.53 = 330.98 : x
  2. Step 2: Convert to fraction form
    697.30/1,044.53 = 330.98/x
  3. Step 3: Cross multiply
    697.30x = 1,044.53 × 330.98
  4. Step 4: Simplify right side
    697.30x = 345,718.54
  5. Step 5: Solve for x
    x = 345,718.54/697.30
  6. Step 6: Final answer
    x = 495.80

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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.