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Finding the Fourth Proportional to 697.49, 962.13 and 431.73

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Solution

The fourth proportional to 697.49, 962.13 and 431.73 is: 595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.49 : 962.13 = 431.73 : x
  2. Step 2: Convert to fraction form
    697.49/962.13 = 431.73/x
  3. Step 3: Cross multiply
    697.49x = 962.13 × 431.73
  4. Step 4: Simplify right side
    697.49x = 415,379.58
  5. Step 5: Solve for x
    x = 415,379.58/697.49
  6. Step 6: Final answer
    x = 595.54

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1.5x scale

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.