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Finding the Fourth Proportional to 414.16, 571.32 and 256.75

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Solution

The fourth proportional to 414.16, 571.32 and 256.75 is: 354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.16 : 571.32 = 256.75 : x
  2. Step 2: Convert to fraction form
    414.16/571.32 = 256.75/x
  3. Step 3: Cross multiply
    414.16x = 571.32 × 256.75
  4. Step 4: Simplify right side
    414.16x = 146,686.41
  5. Step 5: Solve for x
    x = 146,686.41/414.16
  6. Step 6: Final answer
    x = 354.18

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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.