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Finding the Fourth Proportional to 369.36, 509.30 and 244.98

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Solution

The fourth proportional to 369.36, 509.30 and 244.98 is: 337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.36 : 509.30 = 244.98 : x
  2. Step 2: Convert to fraction form
    369.36/509.30 = 244.98/x
  3. Step 3: Cross multiply
    369.36x = 509.30 × 244.98
  4. Step 4: Simplify right side
    369.36x = 124,768.31
  5. Step 5: Solve for x
    x = 124,768.31/369.36
  6. Step 6: Final answer
    x = 337.80

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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.