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Finding the Fourth Proportional to 486.60, 730.14 and 324.24

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Solution

The fourth proportional to 486.60, 730.14 and 324.24 is: 486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.60 : 730.14 = 324.24 : x
  2. Step 2: Convert to fraction form
    486.60/730.14 = 324.24/x
  3. Step 3: Cross multiply
    486.60x = 730.14 × 324.24
  4. Step 4: Simplify right side
    486.60x = 236,740.59
  5. Step 5: Solve for x
    x = 236,740.59/486.60
  6. Step 6: Final answer
    x = 486.52

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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.