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Finding the Fourth Proportional to 466.11, 698.45 and 294.75

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Solution

The fourth proportional to 466.11, 698.45 and 294.75 is: 441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.11 : 698.45 = 294.75 : x
  2. Step 2: Convert to fraction form
    466.11/698.45 = 294.75/x
  3. Step 3: Cross multiply
    466.11x = 698.45 × 294.75
  4. Step 4: Simplify right side
    466.11x = 205,866.66
  5. Step 5: Solve for x
    x = 205,866.66/466.11
  6. Step 6: Final answer
    x = 441.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.