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Finding the Fourth Proportional to 334.60, 462.11 and 330.95

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Solution

The fourth proportional to 334.60, 462.11 and 330.95 is: 457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.60 : 462.11 = 330.95 : x
  2. Step 2: Convert to fraction form
    334.60/462.11 = 330.95/x
  3. Step 3: Cross multiply
    334.60x = 462.11 × 330.95
  4. Step 4: Simplify right side
    334.60x = 152,934.81
  5. Step 5: Solve for x
    x = 152,934.81/334.60
  6. Step 6: Final answer
    x = 457.07

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Why These Related Problems?

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