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Finding the Fourth Proportional to 451.95, 674.09 and 438.28

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Solution

The fourth proportional to 451.95, 674.09 and 438.28 is: 653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.95 : 674.09 = 438.28 : x
  2. Step 2: Convert to fraction form
    451.95/674.09 = 438.28/x
  3. Step 3: Cross multiply
    451.95x = 674.09 × 438.28
  4. Step 4: Simplify right side
    451.95x = 295,437.93
  5. Step 5: Solve for x
    x = 295,437.93/451.95
  6. Step 6: Final answer
    x = 653.70

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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.