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Finding the Fourth Proportional to 355.38, 532.47 and 278.02

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Solution

The fourth proportional to 355.38, 532.47 and 278.02 is: 416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.38 : 532.47 = 278.02 : x
  2. Step 2: Convert to fraction form
    355.38/532.47 = 278.02/x
  3. Step 3: Cross multiply
    355.38x = 532.47 × 278.02
  4. Step 4: Simplify right side
    355.38x = 148,039.02
  5. Step 5: Solve for x
    x = 148,039.02/355.38
  6. Step 6: Final answer
    x = 416.57

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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.