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Finding the Fourth Proportional to 324.04, 485.76 and 141.40

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Solution

The fourth proportional to 324.04, 485.76 and 141.40 is: 211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.04 : 485.76 = 141.40 : x
  2. Step 2: Convert to fraction form
    324.04/485.76 = 141.40/x
  3. Step 3: Cross multiply
    324.04x = 485.76 × 141.40
  4. Step 4: Simplify right side
    324.04x = 68,686.46
  5. Step 5: Solve for x
    x = 68,686.46/324.04
  6. Step 6: Final answer
    x = 211.97

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Why These Related Problems?

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