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Finding the Fourth Proportional to 388.25, 579.50 and 361.16

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Solution

The fourth proportional to 388.25, 579.50 and 361.16 is: 539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.25 : 579.50 = 361.16 : x
  2. Step 2: Convert to fraction form
    388.25/579.50 = 361.16/x
  3. Step 3: Cross multiply
    388.25x = 579.50 × 361.16
  4. Step 4: Simplify right side
    388.25x = 209,292.22
  5. Step 5: Solve for x
    x = 209,292.22/388.25
  6. Step 6: Final answer
    x = 539.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.