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Finding the Fourth Proportional to 635.24, 876.37 and 386.46

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Solution

The fourth proportional to 635.24, 876.37 and 386.46 is: 533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.24 : 876.37 = 386.46 : x
  2. Step 2: Convert to fraction form
    635.24/876.37 = 386.46/x
  3. Step 3: Cross multiply
    635.24x = 876.37 × 386.46
  4. Step 4: Simplify right side
    635.24x = 338,680.98
  5. Step 5: Solve for x
    x = 338,680.98/635.24
  6. Step 6: Final answer
    x = 533.16

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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.