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Finding the Fourth Proportional to 460.43, 690.86 and 216.91

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Solution

The fourth proportional to 460.43, 690.86 and 216.91 is: 325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.43 : 690.86 = 216.91 : x
  2. Step 2: Convert to fraction form
    460.43/690.86 = 216.91/x
  3. Step 3: Cross multiply
    460.43x = 690.86 × 216.91
  4. Step 4: Simplify right side
    460.43x = 149,854.44
  5. Step 5: Solve for x
    x = 149,854.44/460.43
  6. Step 6: Final answer
    x = 325.47

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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.