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Finding the Fourth Proportional to 414.52, 570.65 and 351.20

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Solution

The fourth proportional to 414.52, 570.65 and 351.20 is: 483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.52 : 570.65 = 351.20 : x
  2. Step 2: Convert to fraction form
    414.52/570.65 = 351.20/x
  3. Step 3: Cross multiply
    414.52x = 570.65 × 351.20
  4. Step 4: Simplify right side
    414.52x = 200,411.95
  5. Step 5: Solve for x
    x = 200,411.95/414.52
  6. Step 6: Final answer
    x = 483.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.