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Finding the Fourth Proportional to 584.11, 805.98 and 363.03

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Solution

The fourth proportional to 584.11, 805.98 and 363.03 is: 500.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.11 : 805.98 = 363.03 : x
  2. Step 2: Convert to fraction form
    584.11/805.98 = 363.03/x
  3. Step 3: Cross multiply
    584.11x = 805.98 × 363.03
  4. Step 4: Simplify right side
    584.11x = 292,594.92
  5. Step 5: Solve for x
    x = 292,594.92/584.11
  6. Step 6: Final answer
    x = 500.92

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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.