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Finding the Fourth Proportional to 412.11, 619.74 and 358.38

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Solution

The fourth proportional to 412.11, 619.74 and 358.38 is: 538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.11 : 619.74 = 358.38 : x
  2. Step 2: Convert to fraction form
    412.11/619.74 = 358.38/x
  3. Step 3: Cross multiply
    412.11x = 619.74 × 358.38
  4. Step 4: Simplify right side
    412.11x = 222,102.42
  5. Step 5: Solve for x
    x = 222,102.42/412.11
  6. Step 6: Final answer
    x = 538.94

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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.