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Finding the Fourth Proportional to 369.52, 509.58 and 238.60

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Solution

The fourth proportional to 369.52, 509.58 and 238.60 is: 329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.52 : 509.58 = 238.60 : x
  2. Step 2: Convert to fraction form
    369.52/509.58 = 238.60/x
  3. Step 3: Cross multiply
    369.52x = 509.58 × 238.60
  4. Step 4: Simplify right side
    369.52x = 121,585.79
  5. Step 5: Solve for x
    x = 121,585.79/369.52
  6. Step 6: Final answer
    x = 329.04

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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.