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Finding the Fourth Proportional to 369.32, 509.13 and 244.77

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Solution

The fourth proportional to 369.32, 509.13 and 244.77 is: 337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.32 : 509.13 = 244.77 : x
  2. Step 2: Convert to fraction form
    369.32/509.13 = 244.77/x
  3. Step 3: Cross multiply
    369.32x = 509.13 × 244.77
  4. Step 4: Simplify right side
    369.32x = 124,619.75
  5. Step 5: Solve for x
    x = 124,619.75/369.32
  6. Step 6: Final answer
    x = 337.43

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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.