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Finding the Fourth Proportional to 414.40, 619.60 and 354.24

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Solution

The fourth proportional to 414.40, 619.60 and 354.24 is: 529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.40 : 619.60 = 354.24 : x
  2. Step 2: Convert to fraction form
    414.40/619.60 = 354.24/x
  3. Step 3: Cross multiply
    414.40x = 619.60 × 354.24
  4. Step 4: Simplify right side
    414.40x = 219,487.10
  5. Step 5: Solve for x
    x = 219,487.10/414.40
  6. Step 6: Final answer
    x = 529.65

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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.