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Finding the Fourth Proportional to 414.65, 572.27 and 265.33

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Solution

The fourth proportional to 414.65, 572.27 and 265.33 is: 366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.65 : 572.27 = 265.33 : x
  2. Step 2: Convert to fraction form
    414.65/572.27 = 265.33/x
  3. Step 3: Cross multiply
    414.65x = 572.27 × 265.33
  4. Step 4: Simplify right side
    414.65x = 151,840.40
  5. Step 5: Solve for x
    x = 151,840.40/414.65
  6. Step 6: Final answer
    x = 366.19

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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.