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Finding the Fourth Proportional to 598.62, 826 and 349.86

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Solution

The fourth proportional to 598.62, 826 and 349.86 is: 482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.62 : 826 = 349.86 : x
  2. Step 2: Convert to fraction form
    598.62/826 = 349.86/x
  3. Step 3: Cross multiply
    598.62x = 826 × 349.86
  4. Step 4: Simplify right side
    598.62x = 288,984.36
  5. Step 5: Solve for x
    x = 288,984.36/598.62
  6. Step 6: Final answer
    x = 482.75

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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.