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Finding the Fourth Proportional to 355.71, 532.35 and 274.08

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Solution

The fourth proportional to 355.71, 532.35 and 274.08 is: 410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.71 : 532.35 = 274.08 : x
  2. Step 2: Convert to fraction form
    355.71/532.35 = 274.08/x
  3. Step 3: Cross multiply
    355.71x = 532.35 × 274.08
  4. Step 4: Simplify right side
    355.71x = 145,906.49
  5. Step 5: Solve for x
    x = 145,906.49/355.71
  6. Step 6: Final answer
    x = 410.18

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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.