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Finding the Fourth Proportional to 697.34, 1,046.06 and 210.38

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Solution

The fourth proportional to 697.34, 1,046.06 and 210.38 is: 315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.34 : 1,046.06 = 210.38 : x
  2. Step 2: Convert to fraction form
    697.34/1,046.06 = 210.38/x
  3. Step 3: Cross multiply
    697.34x = 1,046.06 × 210.38
  4. Step 4: Simplify right side
    697.34x = 220,063.82
  5. Step 5: Solve for x
    x = 220,063.82/697.34
  6. Step 6: Final answer
    x = 315.58

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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.