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Finding the Fourth Proportional to 324.52, 483.65 and 324.00

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Solution

The fourth proportional to 324.52, 483.65 and 324.00 is: 482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.52 : 483.65 = 324.00 : x
  2. Step 2: Convert to fraction form
    324.52/483.65 = 324.00/x
  3. Step 3: Cross multiply
    324.52x = 483.65 × 324.00
  4. Step 4: Simplify right side
    324.52x = 156,702.79
  5. Step 5: Solve for x
    x = 156,702.79/324.52
  6. Step 6: Final answer
    x = 482.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.