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Finding the Fourth Proportional to 365.06, 547.85 and 274.00

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Solution

The fourth proportional to 365.06, 547.85 and 274.00 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.06 : 547.85 = 274.00 : x
  2. Step 2: Convert to fraction form
    365.06/547.85 = 274.00/x
  3. Step 3: Cross multiply
    365.06x = 547.85 × 274.00
  4. Step 4: Simplify right side
    365.06x = 150,108.16
  5. Step 5: Solve for x
    x = 150,108.16/365.06
  6. Step 6: Final answer
    x = 411.19

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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.