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Finding the Fourth Proportional to 292.40, 439.17 and 257.77

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Solution

The fourth proportional to 292.40, 439.17 and 257.77 is: 387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.40 : 439.17 = 257.77 : x
  2. Step 2: Convert to fraction form
    292.40/439.17 = 257.77/x
  3. Step 3: Cross multiply
    292.40x = 439.17 × 257.77
  4. Step 4: Simplify right side
    292.40x = 113,204.85
  5. Step 5: Solve for x
    x = 113,204.85/292.40
  6. Step 6: Final answer
    x = 387.16

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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.