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Finding the Fourth Proportional to 362.70, 501.30 and 349.38

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Solution

The fourth proportional to 362.70, 501.30 and 349.38 is: 482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.70 : 501.30 = 349.38 : x
  2. Step 2: Convert to fraction form
    362.70/501.30 = 349.38/x
  3. Step 3: Cross multiply
    362.70x = 501.30 × 349.38
  4. Step 4: Simplify right side
    362.70x = 175,144.19
  5. Step 5: Solve for x
    x = 175,144.19/362.70
  6. Step 6: Final answer
    x = 482.89

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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.