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Finding the Fourth Proportional to 598.65, 826.10 and 349.97

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Solution

The fourth proportional to 598.65, 826.10 and 349.97 is: 482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.65 : 826.10 = 349.97 : x
  2. Step 2: Convert to fraction form
    598.65/826.10 = 349.97/x
  3. Step 3: Cross multiply
    598.65x = 826.10 × 349.97
  4. Step 4: Simplify right side
    598.65x = 289,104.34
  5. Step 5: Solve for x
    x = 289,104.34/598.65
  6. Step 6: Final answer
    x = 482.93

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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.