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Finding the Fourth Proportional to 451, 672.40 and 423.46

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Solution

The fourth proportional to 451, 672.40 and 423.46 is: 631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451 : 672.40 = 423.46 : x
  2. Step 2: Convert to fraction form
    451/672.40 = 423.46/x
  3. Step 3: Cross multiply
    451x = 672.40 × 423.46
  4. Step 4: Simplify right side
    451x = 284,734.50
  5. Step 5: Solve for x
    x = 284,734.50/451
  6. Step 6: Final answer
    x = 631.34

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