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Finding the Fourth Proportional to 346.42, 477.97 and 206.56

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Solution

The fourth proportional to 346.42, 477.97 and 206.56 is: 285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.42 : 477.97 = 206.56 : x
  2. Step 2: Convert to fraction form
    346.42/477.97 = 206.56/x
  3. Step 3: Cross multiply
    346.42x = 477.97 × 206.56
  4. Step 4: Simplify right side
    346.42x = 98,729.48
  5. Step 5: Solve for x
    x = 98,729.48/346.42
  6. Step 6: Final answer
    x = 285.00

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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.