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Finding the Fourth Proportional to 414.72, 572.06 and 265.28

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Solution

The fourth proportional to 414.72, 572.06 and 265.28 is: 365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 572.06 = 265.28 : x
  2. Step 2: Convert to fraction form
    414.72/572.06 = 265.28/x
  3. Step 3: Cross multiply
    414.72x = 572.06 × 265.28
  4. Step 4: Simplify right side
    414.72x = 151,756.08
  5. Step 5: Solve for x
    x = 151,756.08/414.72
  6. Step 6: Final answer
    x = 365.92

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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.