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Finding the Fourth Proportional to 698.50, 964.20 and 466.30

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Solution

The fourth proportional to 698.50, 964.20 and 466.30 is: 643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.50 : 964.20 = 466.30 : x
  2. Step 2: Convert to fraction form
    698.50/964.20 = 466.30/x
  3. Step 3: Cross multiply
    698.50x = 964.20 × 466.30
  4. Step 4: Simplify right side
    698.50x = 449,606.46
  5. Step 5: Solve for x
    x = 449,606.46/698.50
  6. Step 6: Final answer
    x = 643.67

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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.