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Finding the Fourth Proportional to 642.83, 887.10 and 363.05

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Solution

The fourth proportional to 642.83, 887.10 and 363.05 is: 501.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.83 : 887.10 = 363.05 : x
  2. Step 2: Convert to fraction form
    642.83/887.10 = 363.05/x
  3. Step 3: Cross multiply
    642.83x = 887.10 × 363.05
  4. Step 4: Simplify right side
    642.83x = 322,061.78
  5. Step 5: Solve for x
    x = 322,061.78/642.83
  6. Step 6: Final answer
    x = 501.01

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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.