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Finding the Fourth Proportional to 360.99, 538.92 and 309.83

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Solution

The fourth proportional to 360.99, 538.92 and 309.83 is: 462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.99 : 538.92 = 309.83 : x
  2. Step 2: Convert to fraction form
    360.99/538.92 = 309.83/x
  3. Step 3: Cross multiply
    360.99x = 538.92 × 309.83
  4. Step 4: Simplify right side
    360.99x = 166,970.89
  5. Step 5: Solve for x
    x = 166,970.89/360.99
  6. Step 6: Final answer
    x = 462.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.