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Finding the Fourth Proportional to 400.98, 598.05 and 349.20

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Solution

The fourth proportional to 400.98, 598.05 and 349.20 is: 520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.98 : 598.05 = 349.20 : x
  2. Step 2: Convert to fraction form
    400.98/598.05 = 349.20/x
  3. Step 3: Cross multiply
    400.98x = 598.05 × 349.20
  4. Step 4: Simplify right side
    400.98x = 208,839.06
  5. Step 5: Solve for x
    x = 208,839.06/400.98
  6. Step 6: Final answer
    x = 520.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.