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Finding the Fourth Proportional to 318.79, 477.78 and 278.02

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Solution

The fourth proportional to 318.79, 477.78 and 278.02 is: 416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.79 : 477.78 = 278.02 : x
  2. Step 2: Convert to fraction form
    318.79/477.78 = 278.02/x
  3. Step 3: Cross multiply
    318.79x = 477.78 × 278.02
  4. Step 4: Simplify right side
    318.79x = 132,832.40
  5. Step 5: Solve for x
    x = 132,832.40/318.79
  6. Step 6: Final answer
    x = 416.68

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Why These Related Problems?

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