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Finding the Fourth Proportional to 426.75, 639.18 and 415.23

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Solution

The fourth proportional to 426.75, 639.18 and 415.23 is: 621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.75 : 639.18 = 415.23 : x
  2. Step 2: Convert to fraction form
    426.75/639.18 = 415.23/x
  3. Step 3: Cross multiply
    426.75x = 639.18 × 415.23
  4. Step 4: Simplify right side
    426.75x = 265,406.71
  5. Step 5: Solve for x
    x = 265,406.71/426.75
  6. Step 6: Final answer
    x = 621.93

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