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Finding the Fourth Proportional to 601.50, 830.09 and 349.41

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Solution

The fourth proportional to 601.50, 830.09 and 349.41 is: 482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.50 : 830.09 = 349.41 : x
  2. Step 2: Convert to fraction form
    601.50/830.09 = 349.41/x
  3. Step 3: Cross multiply
    601.50x = 830.09 × 349.41
  4. Step 4: Simplify right side
    601.50x = 290,035.85
  5. Step 5: Solve for x
    x = 290,035.85/601.50
  6. Step 6: Final answer
    x = 482.19

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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.