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Finding the Fourth Proportional to 387.95, 582.07 and 171.47

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Solution

The fourth proportional to 387.95, 582.07 and 171.47 is: 257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.95 : 582.07 = 171.47 : x
  2. Step 2: Convert to fraction form
    387.95/582.07 = 171.47/x
  3. Step 3: Cross multiply
    387.95x = 582.07 × 171.47
  4. Step 4: Simplify right side
    387.95x = 99,808.57
  5. Step 5: Solve for x
    x = 99,808.57/387.95
  6. Step 6: Final answer
    x = 257.28

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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.