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Finding the Fourth Proportional to 640.18, 957.81 and 466.90

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Solution

The fourth proportional to 640.18, 957.81 and 466.90 is: 698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.18 : 957.81 = 466.90 : x
  2. Step 2: Convert to fraction form
    640.18/957.81 = 466.90/x
  3. Step 3: Cross multiply
    640.18x = 957.81 × 466.90
  4. Step 4: Simplify right side
    640.18x = 447,196.70
  5. Step 5: Solve for x
    x = 447,196.70/640.18
  6. Step 6: Final answer
    x = 698.55

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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.