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Finding the Fourth Proportional to 584.08, 806.66 and 363.56

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Solution

The fourth proportional to 584.08, 806.66 and 363.56 is: 502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.08 : 806.66 = 363.56 : x
  2. Step 2: Convert to fraction form
    584.08/806.66 = 363.56/x
  3. Step 3: Cross multiply
    584.08x = 806.66 × 363.56
  4. Step 4: Simplify right side
    584.08x = 293,264.82
  5. Step 5: Solve for x
    x = 293,264.82/584.08
  6. Step 6: Final answer
    x = 502.10

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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.