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Finding the Fourth Proportional to 584.52, 806.28 and 388.08

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Solution

The fourth proportional to 584.52, 806.28 and 388.08 is: 535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.52 : 806.28 = 388.08 : x
  2. Step 2: Convert to fraction form
    584.52/806.28 = 388.08/x
  3. Step 3: Cross multiply
    584.52x = 806.28 × 388.08
  4. Step 4: Simplify right side
    584.52x = 312,901.14
  5. Step 5: Solve for x
    x = 312,901.14/584.52
  6. Step 6: Final answer
    x = 535.31

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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.