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Finding the Fourth Proportional to 584.42, 806.88 and 363.70

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Solution

The fourth proportional to 584.42, 806.88 and 363.70 is: 502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.42 : 806.88 = 363.70 : x
  2. Step 2: Convert to fraction form
    584.42/806.88 = 363.70/x
  3. Step 3: Cross multiply
    584.42x = 806.88 × 363.70
  4. Step 4: Simplify right side
    584.42x = 293,462.26
  5. Step 5: Solve for x
    x = 293,462.26/584.42
  6. Step 6: Final answer
    x = 502.14

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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.