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Finding the Fourth Proportional to 414.72, 573.78 and 352.32

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Solution

The fourth proportional to 414.72, 573.78 and 352.32 is: 487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 573.78 = 352.32 : x
  2. Step 2: Convert to fraction form
    414.72/573.78 = 352.32/x
  3. Step 3: Cross multiply
    414.72x = 573.78 × 352.32
  4. Step 4: Simplify right side
    414.72x = 202,154.17
  5. Step 5: Solve for x
    x = 202,154.17/414.72
  6. Step 6: Final answer
    x = 487.45

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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.