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Finding the Fourth Proportional to 584.54, 807.04 and 363.81

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Solution

The fourth proportional to 584.54, 807.04 and 363.81 is: 502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.54 : 807.04 = 363.81 : x
  2. Step 2: Convert to fraction form
    584.54/807.04 = 363.81/x
  3. Step 3: Cross multiply
    584.54x = 807.04 × 363.81
  4. Step 4: Simplify right side
    584.54x = 293,609.22
  5. Step 5: Solve for x
    x = 293,609.22/584.54
  6. Step 6: Final answer
    x = 502.29

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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.