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Finding the Fourth Proportional to 460.22, 689.19 and 286.34

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Solution

The fourth proportional to 460.22, 689.19 and 286.34 is: 428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.22 : 689.19 = 286.34 : x
  2. Step 2: Convert to fraction form
    460.22/689.19 = 286.34/x
  3. Step 3: Cross multiply
    460.22x = 689.19 × 286.34
  4. Step 4: Simplify right side
    460.22x = 197,342.66
  5. Step 5: Solve for x
    x = 197,342.66/460.22
  6. Step 6: Final answer
    x = 428.80

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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.