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Finding the Fourth Proportional to 936.15, 1,404.24 and 388.17

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Solution

The fourth proportional to 936.15, 1,404.24 and 388.17 is: 582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.15 : 1,404.24 = 388.17 : x
  2. Step 2: Convert to fraction form
    936.15/1,404.24 = 388.17/x
  3. Step 3: Cross multiply
    936.15x = 1,404.24 × 388.17
  4. Step 4: Simplify right side
    936.15x = 545,083.84
  5. Step 5: Solve for x
    x = 545,083.84/936.15
  6. Step 6: Final answer
    x = 582.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.