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Finding the Fourth Proportional to 457.04, 684.69 and 225.66

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Solution

The fourth proportional to 457.04, 684.69 and 225.66 is: 338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.04 : 684.69 = 225.66 : x
  2. Step 2: Convert to fraction form
    457.04/684.69 = 225.66/x
  3. Step 3: Cross multiply
    457.04x = 684.69 × 225.66
  4. Step 4: Simplify right side
    457.04x = 154,505.00
  5. Step 5: Solve for x
    x = 154,505.00/457.04
  6. Step 6: Final answer
    x = 338.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.