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Finding the Fourth Proportional to 697.38, 1,046.15 and 210.43

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Solution

The fourth proportional to 697.38, 1,046.15 and 210.43 is: 315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.38 : 1,046.15 = 210.43 : x
  2. Step 2: Convert to fraction form
    697.38/1,046.15 = 210.43/x
  3. Step 3: Cross multiply
    697.38x = 1,046.15 × 210.43
  4. Step 4: Simplify right side
    697.38x = 220,142.39
  5. Step 5: Solve for x
    x = 220,142.39/697.38
  6. Step 6: Final answer
    x = 315.67

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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.