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Finding the Fourth Proportional to 414.48, 572.16 and 345.36

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Solution

The fourth proportional to 414.48, 572.16 and 345.36 is: 476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.48 : 572.16 = 345.36 : x
  2. Step 2: Convert to fraction form
    414.48/572.16 = 345.36/x
  3. Step 3: Cross multiply
    414.48x = 572.16 × 345.36
  4. Step 4: Simplify right side
    414.48x = 197,601.18
  5. Step 5: Solve for x
    x = 197,601.18/414.48
  6. Step 6: Final answer
    x = 476.74

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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.