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Finding the Fourth Proportional to 460.25, 635.19 and 285.65

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Solution

The fourth proportional to 460.25, 635.19 and 285.65 is: 394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 635.19 = 285.65 : x
  2. Step 2: Convert to fraction form
    460.25/635.19 = 285.65/x
  3. Step 3: Cross multiply
    460.25x = 635.19 × 285.65
  4. Step 4: Simplify right side
    460.25x = 181,442.02
  5. Step 5: Solve for x
    x = 181,442.02/460.25
  6. Step 6: Final answer
    x = 394.22

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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.