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Finding the Fourth Proportional to 324.46, 485.78 and 242.06

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Solution

The fourth proportional to 324.46, 485.78 and 242.06 is: 362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.46 : 485.78 = 242.06 : x
  2. Step 2: Convert to fraction form
    324.46/485.78 = 242.06/x
  3. Step 3: Cross multiply
    324.46x = 485.78 × 242.06
  4. Step 4: Simplify right side
    324.46x = 117,587.91
  5. Step 5: Solve for x
    x = 117,587.91/324.46
  6. Step 6: Final answer
    x = 362.41

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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.