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Finding the Fourth Proportional to 369.66, 509.45 and 276.24

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Solution

The fourth proportional to 369.66, 509.45 and 276.24 is: 380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.66 : 509.45 = 276.24 : x
  2. Step 2: Convert to fraction form
    369.66/509.45 = 276.24/x
  3. Step 3: Cross multiply
    369.66x = 509.45 × 276.24
  4. Step 4: Simplify right side
    369.66x = 140,729.09
  5. Step 5: Solve for x
    x = 140,729.09/369.66
  6. Step 6: Final answer
    x = 380.70

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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.