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Finding the Fourth Proportional to 645.46, 968.18 and 255.40

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Solution

The fourth proportional to 645.46, 968.18 and 255.40 is: 383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.46 : 968.18 = 255.40 : x
  2. Step 2: Convert to fraction form
    645.46/968.18 = 255.40/x
  3. Step 3: Cross multiply
    645.46x = 968.18 × 255.40
  4. Step 4: Simplify right side
    645.46x = 247,269.47
  5. Step 5: Solve for x
    x = 247,269.47/645.46
  6. Step 6: Final answer
    x = 383.09

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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.