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Finding the Fourth Proportional to 598.76, 826.41 and 336.86

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Solution

The fourth proportional to 598.76, 826.41 and 336.86 is: 464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.76 : 826.41 = 336.86 : x
  2. Step 2: Convert to fraction form
    598.76/826.41 = 336.86/x
  3. Step 3: Cross multiply
    598.76x = 826.41 × 336.86
  4. Step 4: Simplify right side
    598.76x = 278,384.47
  5. Step 5: Solve for x
    x = 278,384.47/598.76
  6. Step 6: Final answer
    x = 464.93

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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.