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Finding the Fourth Proportional to 365.49, 544.76 and 344.99

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Solution

The fourth proportional to 365.49, 544.76 and 344.99 is: 514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.49 : 544.76 = 344.99 : x
  2. Step 2: Convert to fraction form
    365.49/544.76 = 344.99/x
  3. Step 3: Cross multiply
    365.49x = 544.76 × 344.99
  4. Step 4: Simplify right side
    365.49x = 187,932.30
  5. Step 5: Solve for x
    x = 187,932.30/365.49
  6. Step 6: Final answer
    x = 514.19

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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.