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Finding the Fourth Proportional to 460.47, 632.43 and 426.66

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Solution

The fourth proportional to 460.47, 632.43 and 426.66 is: 585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.47 : 632.43 = 426.66 : x
  2. Step 2: Convert to fraction form
    460.47/632.43 = 426.66/x
  3. Step 3: Cross multiply
    460.47x = 632.43 × 426.66
  4. Step 4: Simplify right side
    460.47x = 269,832.58
  5. Step 5: Solve for x
    x = 269,832.58/460.47
  6. Step 6: Final answer
    x = 585.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.