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Finding the Fourth Proportional to 584.18, 805.86 and 363.02

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Solution

The fourth proportional to 584.18, 805.86 and 363.02 is: 500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.18 : 805.86 = 363.02 : x
  2. Step 2: Convert to fraction form
    584.18/805.86 = 363.02/x
  3. Step 3: Cross multiply
    584.18x = 805.86 × 363.02
  4. Step 4: Simplify right side
    584.18x = 292,543.30
  5. Step 5: Solve for x
    x = 292,543.30/584.18
  6. Step 6: Final answer
    x = 500.78

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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.