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Finding the Fourth Proportional to 395.12, 591.65 and 278.94

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Solution

The fourth proportional to 395.12, 591.65 and 278.94 is: 417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.12 : 591.65 = 278.94 : x
  2. Step 2: Convert to fraction form
    395.12/591.65 = 278.94/x
  3. Step 3: Cross multiply
    395.12x = 591.65 × 278.94
  4. Step 4: Simplify right side
    395.12x = 165,033.46
  5. Step 5: Solve for x
    x = 165,033.46/395.12
  6. Step 6: Final answer
    x = 417.68

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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.