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Finding the Fourth Proportional to 324.19, 485.80 and 202.08

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Solution

The fourth proportional to 324.19, 485.80 and 202.08 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.19 : 485.80 = 202.08 : x
  2. Step 2: Convert to fraction form
    324.19/485.80 = 202.08/x
  3. Step 3: Cross multiply
    324.19x = 485.80 × 202.08
  4. Step 4: Simplify right side
    324.19x = 98,170.46
  5. Step 5: Solve for x
    x = 98,170.46/324.19
  6. Step 6: Final answer
    x = 302.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.