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Finding the Fourth Proportional to 355.06, 532.95 and 274.78

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Solution

The fourth proportional to 355.06, 532.95 and 274.78 is: 412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.06 : 532.95 = 274.78 : x
  2. Step 2: Convert to fraction form
    355.06/532.95 = 274.78/x
  3. Step 3: Cross multiply
    355.06x = 532.95 × 274.78
  4. Step 4: Simplify right side
    355.06x = 146,444.00
  5. Step 5: Solve for x
    x = 146,444.00/355.06
  6. Step 6: Final answer
    x = 412.45

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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.