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Finding the Fourth Proportional to 346.22, 477.66 and 235.50

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Solution

The fourth proportional to 346.22, 477.66 and 235.50 is: 324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.22 : 477.66 = 235.50 : x
  2. Step 2: Convert to fraction form
    346.22/477.66 = 235.50/x
  3. Step 3: Cross multiply
    346.22x = 477.66 × 235.50
  4. Step 4: Simplify right side
    346.22x = 112,488.93
  5. Step 5: Solve for x
    x = 112,488.93/346.22
  6. Step 6: Final answer
    x = 324.91

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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.