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Finding the Fourth Proportional to 346.26, 477.94 and 208.26

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Solution

The fourth proportional to 346.26, 477.94 and 208.26 is: 287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.26 : 477.94 = 208.26 : x
  2. Step 2: Convert to fraction form
    346.26/477.94 = 208.26/x
  3. Step 3: Cross multiply
    346.26x = 477.94 × 208.26
  4. Step 4: Simplify right side
    346.26x = 99,535.78
  5. Step 5: Solve for x
    x = 99,535.78/346.26
  6. Step 6: Final answer
    x = 287.46

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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.