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Finding the Fourth Proportional to 598.83, 826.29 and 349.98

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Solution

The fourth proportional to 598.83, 826.29 and 349.98 is: 482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.83 : 826.29 = 349.98 : x
  2. Step 2: Convert to fraction form
    598.83/826.29 = 349.98/x
  3. Step 3: Cross multiply
    598.83x = 826.29 × 349.98
  4. Step 4: Simplify right side
    598.83x = 289,184.97
  5. Step 5: Solve for x
    x = 289,184.97/598.83
  6. Step 6: Final answer
    x = 482.92

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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.