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Finding the Fourth Proportional to 414.63, 572.76 and 353.13

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Solution

The fourth proportional to 414.63, 572.76 and 353.13 is: 487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.63 : 572.76 = 353.13 : x
  2. Step 2: Convert to fraction form
    414.63/572.76 = 353.13/x
  3. Step 3: Cross multiply
    414.63x = 572.76 × 353.13
  4. Step 4: Simplify right side
    414.63x = 202,258.74
  5. Step 5: Solve for x
    x = 202,258.74/414.63
  6. Step 6: Final answer
    x = 487.81

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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.