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Finding the Fourth Proportional to 369.22, 509.34 and 270.76

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Solution

The fourth proportional to 369.22, 509.34 and 270.76 is: 373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.22 : 509.34 = 270.76 : x
  2. Step 2: Convert to fraction form
    369.22/509.34 = 270.76/x
  3. Step 3: Cross multiply
    369.22x = 509.34 × 270.76
  4. Step 4: Simplify right side
    369.22x = 137,908.90
  5. Step 5: Solve for x
    x = 137,908.90/369.22
  6. Step 6: Final answer
    x = 373.51

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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.