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Finding the Fourth Proportional to 598.86, 826.74 and 366.12

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Solution

The fourth proportional to 598.86, 826.74 and 366.12 is: 505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.86 : 826.74 = 366.12 : x
  2. Step 2: Convert to fraction form
    598.86/826.74 = 366.12/x
  3. Step 3: Cross multiply
    598.86x = 826.74 × 366.12
  4. Step 4: Simplify right side
    598.86x = 302,686.05
  5. Step 5: Solve for x
    x = 302,686.05/598.86
  6. Step 6: Final answer
    x = 505.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.