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Finding the Fourth Proportional to 360.83, 498.01 and 213.53

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Solution

The fourth proportional to 360.83, 498.01 and 213.53 is: 294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.83 : 498.01 = 213.53 : x
  2. Step 2: Convert to fraction form
    360.83/498.01 = 213.53/x
  3. Step 3: Cross multiply
    360.83x = 498.01 × 213.53
  4. Step 4: Simplify right side
    360.83x = 106,340.25
  5. Step 5: Solve for x
    x = 106,340.25/360.83
  6. Step 6: Final answer
    x = 294.71

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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.