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Finding the Fourth Proportional to 346.06, 477.45 and 208.06

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Solution

The fourth proportional to 346.06, 477.45 and 208.06 is: 287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.06 : 477.45 = 208.06 : x
  2. Step 2: Convert to fraction form
    346.06/477.45 = 208.06/x
  3. Step 3: Cross multiply
    346.06x = 477.45 × 208.06
  4. Step 4: Simplify right side
    346.06x = 99,338.25
  5. Step 5: Solve for x
    x = 99,338.25/346.06
  6. Step 6: Final answer
    x = 287.05

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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.