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Finding the Fourth Proportional to 346.30, 477.85 and 206.46

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Solution

The fourth proportional to 346.30, 477.85 and 206.46 is: 284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.30 : 477.85 = 206.46 : x
  2. Step 2: Convert to fraction form
    346.30/477.85 = 206.46/x
  3. Step 3: Cross multiply
    346.30x = 477.85 × 206.46
  4. Step 4: Simplify right side
    346.30x = 98,655.88
  5. Step 5: Solve for x
    x = 98,655.88/346.30
  6. Step 6: Final answer
    x = 284.89

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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.