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Finding the Fourth Proportional to 598.75, 826.61 and 377.75

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Solution

The fourth proportional to 598.75, 826.61 and 377.75 is: 521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.75 : 826.61 = 377.75 : x
  2. Step 2: Convert to fraction form
    598.75/826.61 = 377.75/x
  3. Step 3: Cross multiply
    598.75x = 826.61 × 377.75
  4. Step 4: Simplify right side
    598.75x = 312,252.11
  5. Step 5: Solve for x
    x = 312,252.11/598.75
  6. Step 6: Final answer
    x = 521.51

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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.