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Finding the Fourth Proportional to 307.75, 425.27 and 233.93

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Solution

The fourth proportional to 307.75, 425.27 and 233.93 is: 323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.75 : 425.27 = 233.93 : x
  2. Step 2: Convert to fraction form
    307.75/425.27 = 233.93/x
  3. Step 3: Cross multiply
    307.75x = 425.27 × 233.93
  4. Step 4: Simplify right side
    307.75x = 99,483.41
  5. Step 5: Solve for x
    x = 99,483.41/307.75
  6. Step 6: Final answer
    x = 323.26

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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.