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Finding the Fourth Proportional to 369.20, 509.29 and 275.99

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Solution

The fourth proportional to 369.20, 509.29 and 275.99 is: 380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.20 : 509.29 = 275.99 : x
  2. Step 2: Convert to fraction form
    369.20/509.29 = 275.99/x
  3. Step 3: Cross multiply
    369.20x = 509.29 × 275.99
  4. Step 4: Simplify right side
    369.20x = 140,555.71
  5. Step 5: Solve for x
    x = 140,555.71/369.20
  6. Step 6: Final answer
    x = 380.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.