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Finding the Fourth Proportional to 598.74, 826.62 and 389.02

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Solution

The fourth proportional to 598.74, 826.62 and 389.02 is: 537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.74 : 826.62 = 389.02 : x
  2. Step 2: Convert to fraction form
    598.74/826.62 = 389.02/x
  3. Step 3: Cross multiply
    598.74x = 826.62 × 389.02
  4. Step 4: Simplify right side
    598.74x = 321,571.71
  5. Step 5: Solve for x
    x = 321,571.71/598.74
  6. Step 6: Final answer
    x = 537.08

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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.