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Finding the Fourth Proportional to 369.74, 509.78 and 271.46

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Solution

The fourth proportional to 369.74, 509.78 and 271.46 is: 374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.74 : 509.78 = 271.46 : x
  2. Step 2: Convert to fraction form
    369.74/509.78 = 271.46/x
  3. Step 3: Cross multiply
    369.74x = 509.78 × 271.46
  4. Step 4: Simplify right side
    369.74x = 138,384.88
  5. Step 5: Solve for x
    x = 138,384.88/369.74
  6. Step 6: Final answer
    x = 374.28

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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.