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Finding the Fourth Proportional to 460.99, 636.30 and 295.65

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Solution

The fourth proportional to 460.99, 636.30 and 295.65 is: 408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.99 : 636.30 = 295.65 : x
  2. Step 2: Convert to fraction form
    460.99/636.30 = 295.65/x
  3. Step 3: Cross multiply
    460.99x = 636.30 × 295.65
  4. Step 4: Simplify right side
    460.99x = 188,122.10
  5. Step 5: Solve for x
    x = 188,122.10/460.99
  6. Step 6: Final answer
    x = 408.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.