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Finding the Fourth Proportional to 635.33, 876.02 and 466.52

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Solution

The fourth proportional to 635.33, 876.02 and 466.52 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.33 : 876.02 = 466.52 : x
  2. Step 2: Convert to fraction form
    635.33/876.02 = 466.52/x
  3. Step 3: Cross multiply
    635.33x = 876.02 × 466.52
  4. Step 4: Simplify right side
    635.33x = 408,674.14
  5. Step 5: Solve for x
    x = 408,674.14/635.33
  6. Step 6: Final answer
    x = 643.25

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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.