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Finding the Fourth Proportional to 635.23, 876.55 and 369.70

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Solution

The fourth proportional to 635.23, 876.55 and 369.70 is: 510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.23 : 876.55 = 369.70 : x
  2. Step 2: Convert to fraction form
    635.23/876.55 = 369.70/x
  3. Step 3: Cross multiply
    635.23x = 876.55 × 369.70
  4. Step 4: Simplify right side
    635.23x = 324,062.62
  5. Step 5: Solve for x
    x = 324,062.62/635.23
  6. Step 6: Final answer
    x = 510.15

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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.