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Finding the Fourth Proportional to 639.50, 882.54 and 363.50

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Solution

The fourth proportional to 639.50, 882.54 and 363.50 is: 501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.50 : 882.54 = 363.50 : x
  2. Step 2: Convert to fraction form
    639.50/882.54 = 363.50/x
  3. Step 3: Cross multiply
    639.50x = 882.54 × 363.50
  4. Step 4: Simplify right side
    639.50x = 320,803.29
  5. Step 5: Solve for x
    x = 320,803.29/639.50
  6. Step 6: Final answer
    x = 501.65

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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.