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Finding the Fourth Proportional to 460.95, 636.08 and 286.26

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Solution

The fourth proportional to 460.95, 636.08 and 286.26 is: 395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.95 : 636.08 = 286.26 : x
  2. Step 2: Convert to fraction form
    460.95/636.08 = 286.26/x
  3. Step 3: Cross multiply
    460.95x = 636.08 × 286.26
  4. Step 4: Simplify right side
    460.95x = 182,082.83
  5. Step 5: Solve for x
    x = 182,082.83/460.95
  6. Step 6: Final answer
    x = 395.02

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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.