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Finding the Fourth Proportional to 597.92, 824.94 and 388.13

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Solution

The fourth proportional to 597.92, 824.94 and 388.13 is: 535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.92 : 824.94 = 388.13 : x
  2. Step 2: Convert to fraction form
    597.92/824.94 = 388.13/x
  3. Step 3: Cross multiply
    597.92x = 824.94 × 388.13
  4. Step 4: Simplify right side
    597.92x = 320,179.84
  5. Step 5: Solve for x
    x = 320,179.84/597.92
  6. Step 6: Final answer
    x = 535.49

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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.