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Finding the Fourth Proportional to 465.20, 694.85 and 438.54

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Solution

The fourth proportional to 465.20, 694.85 and 438.54 is: 655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.20 : 694.85 = 438.54 : x
  2. Step 2: Convert to fraction form
    465.20/694.85 = 438.54/x
  3. Step 3: Cross multiply
    465.20x = 694.85 × 438.54
  4. Step 4: Simplify right side
    465.20x = 304,717.33
  5. Step 5: Solve for x
    x = 304,717.33/465.20
  6. Step 6: Final answer
    x = 655.03

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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.