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Finding the Fourth Proportional to 324.98, 486.54 and 302.20

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Solution

The fourth proportional to 324.98, 486.54 and 302.20 is: 452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.98 : 486.54 = 302.20 : x
  2. Step 2: Convert to fraction form
    324.98/486.54 = 302.20/x
  3. Step 3: Cross multiply
    324.98x = 486.54 × 302.20
  4. Step 4: Simplify right side
    324.98x = 147,031.17
  5. Step 5: Solve for x
    x = 147,031.17/324.98
  6. Step 6: Final answer
    x = 452.43

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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.