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Finding the Fourth Proportional to 340.24, 509.24 and 237.52

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Solution

The fourth proportional to 340.24, 509.24 and 237.52 is: 355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.24 : 509.24 = 237.52 : x
  2. Step 2: Convert to fraction form
    340.24/509.24 = 237.52/x
  3. Step 3: Cross multiply
    340.24x = 509.24 × 237.52
  4. Step 4: Simplify right side
    340.24x = 120,954.68
  5. Step 5: Solve for x
    x = 120,954.68/340.24
  6. Step 6: Final answer
    x = 355.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.