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Finding the Fourth Proportional to 697.14, 962.08 and 431.66

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Solution

The fourth proportional to 697.14, 962.08 and 431.66 is: 595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.14 : 962.08 = 431.66 : x
  2. Step 2: Convert to fraction form
    697.14/962.08 = 431.66/x
  3. Step 3: Cross multiply
    697.14x = 962.08 × 431.66
  4. Step 4: Simplify right side
    697.14x = 415,292.78
  5. Step 5: Solve for x
    x = 415,292.78/697.14
  6. Step 6: Final answer
    x = 595.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.