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Finding the Fourth Proportional to 307.17, 423.36 and 233.46

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Solution

The fourth proportional to 307.17, 423.36 and 233.46 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.17 : 423.36 = 233.46 : x
  2. Step 2: Convert to fraction form
    307.17/423.36 = 233.46/x
  3. Step 3: Cross multiply
    307.17x = 423.36 × 233.46
  4. Step 4: Simplify right side
    307.17x = 98,837.63
  5. Step 5: Solve for x
    x = 98,837.63/307.17
  6. Step 6: Final answer
    x = 321.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.