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Finding the Fourth Proportional to 369.04, 509.10 and 238

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Solution

The fourth proportional to 369.04, 509.10 and 238 is: 328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.04 : 509.10 = 238 : x
  2. Step 2: Convert to fraction form
    369.04/509.10 = 238/x
  3. Step 3: Cross multiply
    369.04x = 509.10 × 238
  4. Step 4: Simplify right side
    369.04x = 121,165.80
  5. Step 5: Solve for x
    x = 121,165.80/369.04
  6. Step 6: Final answer
    x = 328.33

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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.