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Finding the Fourth Proportional to 949.16, 1,423.80 and 255.84

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Solution

The fourth proportional to 949.16, 1,423.80 and 255.84 is: 383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.16 : 1,423.80 = 255.84 : x
  2. Step 2: Convert to fraction form
    949.16/1,423.80 = 255.84/x
  3. Step 3: Cross multiply
    949.16x = 1,423.80 × 255.84
  4. Step 4: Simplify right side
    949.16x = 364,264.99
  5. Step 5: Solve for x
    x = 364,264.99/949.16
  6. Step 6: Final answer
    x = 383.78

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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.