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Finding the Fourth Proportional to 394.93, 592.67 and 258.04

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Solution

The fourth proportional to 394.93, 592.67 and 258.04 is: 387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.93 : 592.67 = 258.04 : x
  2. Step 2: Convert to fraction form
    394.93/592.67 = 258.04/x
  3. Step 3: Cross multiply
    394.93x = 592.67 × 258.04
  4. Step 4: Simplify right side
    394.93x = 152,932.57
  5. Step 5: Solve for x
    x = 152,932.57/394.93
  6. Step 6: Final answer
    x = 387.24

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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.