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Finding the Fourth Proportional to 635.65, 876.98 and 386.57

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Solution

The fourth proportional to 635.65, 876.98 and 386.57 is: 533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.65 : 876.98 = 386.57 : x
  2. Step 2: Convert to fraction form
    635.65/876.98 = 386.57/x
  3. Step 3: Cross multiply
    635.65x = 876.98 × 386.57
  4. Step 4: Simplify right side
    635.65x = 339,015.14
  5. Step 5: Solve for x
    x = 339,015.14/635.65
  6. Step 6: Final answer
    x = 533.34

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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.