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Finding the Fourth Proportional to 598.37, 824.99 and 388.18

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Solution

The fourth proportional to 598.37, 824.99 and 388.18 is: 535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.37 : 824.99 = 388.18 : x
  2. Step 2: Convert to fraction form
    598.37/824.99 = 388.18/x
  3. Step 3: Cross multiply
    598.37x = 824.99 × 388.18
  4. Step 4: Simplify right side
    598.37x = 320,244.62
  5. Step 5: Solve for x
    x = 320,244.62/598.37
  6. Step 6: Final answer
    x = 535.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.