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Finding the Fourth Proportional to 414.50, 621.14 and 384.12

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Solution

The fourth proportional to 414.50, 621.14 and 384.12 is: 575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.50 : 621.14 = 384.12 : x
  2. Step 2: Convert to fraction form
    414.50/621.14 = 384.12/x
  3. Step 3: Cross multiply
    414.50x = 621.14 × 384.12
  4. Step 4: Simplify right side
    414.50x = 238,590.38
  5. Step 5: Solve for x
    x = 238,590.38/414.50
  6. Step 6: Final answer
    x = 575.62

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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.