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Finding the Fourth Proportional to 584.23, 806.25 and 387.58

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Solution

The fourth proportional to 584.23, 806.25 and 387.58 is: 534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.23 : 806.25 = 387.58 : x
  2. Step 2: Convert to fraction form
    584.23/806.25 = 387.58/x
  3. Step 3: Cross multiply
    584.23x = 806.25 × 387.58
  4. Step 4: Simplify right side
    584.23x = 312,486.38
  5. Step 5: Solve for x
    x = 312,486.38/584.23
  6. Step 6: Final answer
    x = 534.87

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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.