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Finding the Fourth Proportional to 699.81, 964.20 and 466.53

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Solution

The fourth proportional to 699.81, 964.20 and 466.53 is: 642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.81 : 964.20 = 466.53 : x
  2. Step 2: Convert to fraction form
    699.81/964.20 = 466.53/x
  3. Step 3: Cross multiply
    699.81x = 964.20 × 466.53
  4. Step 4: Simplify right side
    699.81x = 449,828.23
  5. Step 5: Solve for x
    x = 449,828.23/699.81
  6. Step 6: Final answer
    x = 642.79

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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.