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Finding the Fourth Proportional to 356.78, 534.67 and 270.04

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Solution

The fourth proportional to 356.78, 534.67 and 270.04 is: 404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.78 : 534.67 = 270.04 : x
  2. Step 2: Convert to fraction form
    356.78/534.67 = 270.04/x
  3. Step 3: Cross multiply
    356.78x = 534.67 × 270.04
  4. Step 4: Simplify right side
    356.78x = 144,382.29
  5. Step 5: Solve for x
    x = 144,382.29/356.78
  6. Step 6: Final answer
    x = 404.68

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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.