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Finding the Fourth Proportional to 355.84, 532.80 and 278.40

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Solution

The fourth proportional to 355.84, 532.80 and 278.40 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.84 : 532.80 = 278.40 : x
  2. Step 2: Convert to fraction form
    355.84/532.80 = 278.40/x
  3. Step 3: Cross multiply
    355.84x = 532.80 × 278.40
  4. Step 4: Simplify right side
    355.84x = 148,331.52
  5. Step 5: Solve for x
    x = 148,331.52/355.84
  6. Step 6: Final answer
    x = 416.85

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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.