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Finding the Fourth Proportional to 439.95, 659.86 and 257.16

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Solution

The fourth proportional to 439.95, 659.86 and 257.16 is: 385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.95 : 659.86 = 257.16 : x
  2. Step 2: Convert to fraction form
    439.95/659.86 = 257.16/x
  3. Step 3: Cross multiply
    439.95x = 659.86 × 257.16
  4. Step 4: Simplify right side
    439.95x = 169,689.60
  5. Step 5: Solve for x
    x = 169,689.60/439.95
  6. Step 6: Final answer
    x = 385.70

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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.