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Finding the Fourth Proportional to 324.30, 482.72 and 309.36

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Solution

The fourth proportional to 324.30, 482.72 and 309.36 is: 460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.30 : 482.72 = 309.36 : x
  2. Step 2: Convert to fraction form
    324.30/482.72 = 309.36/x
  3. Step 3: Cross multiply
    324.30x = 482.72 × 309.36
  4. Step 4: Simplify right side
    324.30x = 149,332.71
  5. Step 5: Solve for x
    x = 149,332.71/324.30
  6. Step 6: Final answer
    x = 460.48

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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.