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Finding the Fourth Proportional to 697.38, 1,045.93 and 210.31

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Solution

The fourth proportional to 697.38, 1,045.93 and 210.31 is: 315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.38 : 1,045.93 = 210.31 : x
  2. Step 2: Convert to fraction form
    697.38/1,045.93 = 210.31/x
  3. Step 3: Cross multiply
    697.38x = 1,045.93 × 210.31
  4. Step 4: Simplify right side
    697.38x = 219,972.68
  5. Step 5: Solve for x
    x = 219,972.68/697.38
  6. Step 6: Final answer
    x = 315.43

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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.