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Finding the Fourth Proportional to 598.61, 825.81 and 388.86

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Solution

The fourth proportional to 598.61, 825.81 and 388.86 is: 536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.61 : 825.81 = 388.86 : x
  2. Step 2: Convert to fraction form
    598.61/825.81 = 388.86/x
  3. Step 3: Cross multiply
    598.61x = 825.81 × 388.86
  4. Step 4: Simplify right side
    598.61x = 321,124.48
  5. Step 5: Solve for x
    x = 321,124.48/598.61
  6. Step 6: Final answer
    x = 536.45

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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.