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Finding the Fourth Proportional to 491.11, 678.17 and 334.33

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Solution

The fourth proportional to 491.11, 678.17 and 334.33 is: 461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.11 : 678.17 = 334.33 : x
  2. Step 2: Convert to fraction form
    491.11/678.17 = 334.33/x
  3. Step 3: Cross multiply
    491.11x = 678.17 × 334.33
  4. Step 4: Simplify right side
    491.11x = 226,730.46
  5. Step 5: Solve for x
    x = 226,730.46/491.11
  6. Step 6: Final answer
    x = 461.67

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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.