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Finding the Fourth Proportional to 460.17, 632.36 and 382.41

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Solution

The fourth proportional to 460.17, 632.36 and 382.41 is: 525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.17 : 632.36 = 382.41 : x
  2. Step 2: Convert to fraction form
    460.17/632.36 = 382.41/x
  3. Step 3: Cross multiply
    460.17x = 632.36 × 382.41
  4. Step 4: Simplify right side
    460.17x = 241,821.74
  5. Step 5: Solve for x
    x = 241,821.74/460.17
  6. Step 6: Final answer
    x = 525.51

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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.