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Finding the Fourth Proportional to 346.17, 477.41 and 233.94

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Solution

The fourth proportional to 346.17, 477.41 and 233.94 is: 322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.17 : 477.41 = 233.94 : x
  2. Step 2: Convert to fraction form
    346.17/477.41 = 233.94/x
  3. Step 3: Cross multiply
    346.17x = 477.41 × 233.94
  4. Step 4: Simplify right side
    346.17x = 111,684.13
  5. Step 5: Solve for x
    x = 111,684.13/346.17
  6. Step 6: Final answer
    x = 322.63

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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.