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Finding the Fourth Proportional to 366.86, 549.67 and 258.46

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Solution

The fourth proportional to 366.86, 549.67 and 258.46 is: 387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.86 : 549.67 = 258.46 : x
  2. Step 2: Convert to fraction form
    366.86/549.67 = 258.46/x
  3. Step 3: Cross multiply
    366.86x = 549.67 × 258.46
  4. Step 4: Simplify right side
    366.86x = 142,067.71
  5. Step 5: Solve for x
    x = 142,067.71/366.86
  6. Step 6: Final answer
    x = 387.25

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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.