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Finding the Fourth Proportional to 416.04, 574.16 and 256.56

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Solution

The fourth proportional to 416.04, 574.16 and 256.56 is: 354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.04 : 574.16 = 256.56 : x
  2. Step 2: Convert to fraction form
    416.04/574.16 = 256.56/x
  3. Step 3: Cross multiply
    416.04x = 574.16 × 256.56
  4. Step 4: Simplify right side
    416.04x = 147,306.64
  5. Step 5: Solve for x
    x = 147,306.64/416.04
  6. Step 6: Final answer
    x = 354.07

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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.