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Finding the Fourth Proportional to 369, 509.64 and 338.22

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Solution

The fourth proportional to 369, 509.64 and 338.22 is: 467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369 : 509.64 = 338.22 : x
  2. Step 2: Convert to fraction form
    369/509.64 = 338.22/x
  3. Step 3: Cross multiply
    369x = 509.64 × 338.22
  4. Step 4: Simplify right side
    369x = 172,370.44
  5. Step 5: Solve for x
    x = 172,370.44/369
  6. Step 6: Final answer
    x = 467.13

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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.