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Finding the Fourth Proportional to 324.62, 483.55 and 324.01

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Solution

The fourth proportional to 324.62, 483.55 and 324.01 is: 482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.62 : 483.55 = 324.01 : x
  2. Step 2: Convert to fraction form
    324.62/483.55 = 324.01/x
  3. Step 3: Cross multiply
    324.62x = 483.55 × 324.01
  4. Step 4: Simplify right side
    324.62x = 156,675.04
  5. Step 5: Solve for x
    x = 156,675.04/324.62
  6. Step 6: Final answer
    x = 482.64

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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.