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Finding the Fourth Proportional to 486.99, 730.58 and 304.61

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Solution

The fourth proportional to 486.99, 730.58 and 304.61 is: 456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.99 : 730.58 = 304.61 : x
  2. Step 2: Convert to fraction form
    486.99/730.58 = 304.61/x
  3. Step 3: Cross multiply
    486.99x = 730.58 × 304.61
  4. Step 4: Simplify right side
    486.99x = 222,536.80
  5. Step 5: Solve for x
    x = 222,536.80/486.99
  6. Step 6: Final answer
    x = 456.96

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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.