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Finding the Fourth Proportional to 457.04, 682.23 and 423.20

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Solution

The fourth proportional to 457.04, 682.23 and 423.20 is: 631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.04 : 682.23 = 423.20 : x
  2. Step 2: Convert to fraction form
    457.04/682.23 = 423.20/x
  3. Step 3: Cross multiply
    457.04x = 682.23 × 423.20
  4. Step 4: Simplify right side
    457.04x = 288,716.32
  5. Step 5: Solve for x
    x = 288,716.32/457.04
  6. Step 6: Final answer
    x = 631.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.