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Finding the Fourth Proportional to 414.35, 621.77 and 154.53

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Solution

The fourth proportional to 414.35, 621.77 and 154.53 is: 231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.35 : 621.77 = 154.53 : x
  2. Step 2: Convert to fraction form
    414.35/621.77 = 154.53/x
  3. Step 3: Cross multiply
    414.35x = 621.77 × 154.53
  4. Step 4: Simplify right side
    414.35x = 96,082.12
  5. Step 5: Solve for x
    x = 96,082.12/414.35
  6. Step 6: Final answer
    x = 231.89

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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.