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Finding the Fourth Proportional to 366.32, 548.57 and 284.77

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Solution

The fourth proportional to 366.32, 548.57 and 284.77 is: 426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.32 : 548.57 = 284.77 : x
  2. Step 2: Convert to fraction form
    366.32/548.57 = 284.77/x
  3. Step 3: Cross multiply
    366.32x = 548.57 × 284.77
  4. Step 4: Simplify right side
    366.32x = 156,214.59
  5. Step 5: Solve for x
    x = 156,214.59/366.32
  6. Step 6: Final answer
    x = 426.44

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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.