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Finding the Fourth Proportional to 697.44, 1,046.31 and 280.89

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Solution

The fourth proportional to 697.44, 1,046.31 and 280.89 is: 421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.44 : 1,046.31 = 280.89 : x
  2. Step 2: Convert to fraction form
    697.44/1,046.31 = 280.89/x
  3. Step 3: Cross multiply
    697.44x = 1,046.31 × 280.89
  4. Step 4: Simplify right side
    697.44x = 293,898.02
  5. Step 5: Solve for x
    x = 293,898.02/697.44
  6. Step 6: Final answer
    x = 421.40

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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.