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Finding the Fourth Proportional to 697.46, 1,046.25 and 258.69

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Solution

The fourth proportional to 697.46, 1,046.25 and 258.69 is: 388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.46 : 1,046.25 = 258.69 : x
  2. Step 2: Convert to fraction form
    697.46/1,046.25 = 258.69/x
  3. Step 3: Cross multiply
    697.46x = 1,046.25 × 258.69
  4. Step 4: Simplify right side
    697.46x = 270,659.43
  5. Step 5: Solve for x
    x = 270,659.43/697.46
  6. Step 6: Final answer
    x = 388.06

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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.