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Finding the Fourth Proportional to 324, 485.84 and 141.28

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Solution

The fourth proportional to 324, 485.84 and 141.28 is: 211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 485.84 = 141.28 : x
  2. Step 2: Convert to fraction form
    324/485.84 = 141.28/x
  3. Step 3: Cross multiply
    324x = 485.84 × 141.28
  4. Step 4: Simplify right side
    324x = 68,639.48
  5. Step 5: Solve for x
    x = 68,639.48/324
  6. Step 6: Final answer
    x = 211.85

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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.