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Finding the Fourth Proportional to 460.84, 636.24 and 342.68

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Solution

The fourth proportional to 460.84, 636.24 and 342.68 is: 473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.84 : 636.24 = 342.68 : x
  2. Step 2: Convert to fraction form
    460.84/636.24 = 342.68/x
  3. Step 3: Cross multiply
    460.84x = 636.24 × 342.68
  4. Step 4: Simplify right side
    460.84x = 218,023.54
  5. Step 5: Solve for x
    x = 218,023.54/460.84
  6. Step 6: Final answer
    x = 473.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.