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Finding the Fourth Proportional to 369.32, 509.32 and 238.48

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Solution

The fourth proportional to 369.32, 509.32 and 238.48 is: 328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.32 : 509.32 = 238.48 : x
  2. Step 2: Convert to fraction form
    369.32/509.32 = 238.48/x
  3. Step 3: Cross multiply
    369.32x = 509.32 × 238.48
  4. Step 4: Simplify right side
    369.32x = 121,462.63
  5. Step 5: Solve for x
    x = 121,462.63/369.32
  6. Step 6: Final answer
    x = 328.88

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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.