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Finding the Fourth Proportional to 697.32, 1,046.06 and 258.50

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Solution

The fourth proportional to 697.32, 1,046.06 and 258.50 is: 387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.32 : 1,046.06 = 258.50 : x
  2. Step 2: Convert to fraction form
    697.32/1,046.06 = 258.50/x
  3. Step 3: Cross multiply
    697.32x = 1,046.06 × 258.50
  4. Step 4: Simplify right side
    697.32x = 270,406.51
  5. Step 5: Solve for x
    x = 270,406.51/697.32
  6. Step 6: Final answer
    x = 387.78

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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.