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Finding the Fourth Proportional to 325.83, 450.08 and 270.85

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Solution

The fourth proportional to 325.83, 450.08 and 270.85 is: 374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.83 : 450.08 = 270.85 : x
  2. Step 2: Convert to fraction form
    325.83/450.08 = 270.85/x
  3. Step 3: Cross multiply
    325.83x = 450.08 × 270.85
  4. Step 4: Simplify right side
    325.83x = 121,904.17
  5. Step 5: Solve for x
    x = 121,904.17/325.83
  6. Step 6: Final answer
    x = 374.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.