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Finding the Fourth Proportional to 408.96, 613.53 and 152.46

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Solution

The fourth proportional to 408.96, 613.53 and 152.46 is: 228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.96 : 613.53 = 152.46 : x
  2. Step 2: Convert to fraction form
    408.96/613.53 = 152.46/x
  3. Step 3: Cross multiply
    408.96x = 613.53 × 152.46
  4. Step 4: Simplify right side
    408.96x = 93,538.78
  5. Step 5: Solve for x
    x = 93,538.78/408.96
  6. Step 6: Final answer
    x = 228.72

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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.