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Finding the Fourth Proportional to 346.13, 477.63 and 206.27

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Solution

The fourth proportional to 346.13, 477.63 and 206.27 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.13 : 477.63 = 206.27 : x
  2. Step 2: Convert to fraction form
    346.13/477.63 = 206.27/x
  3. Step 3: Cross multiply
    346.13x = 477.63 × 206.27
  4. Step 4: Simplify right side
    346.13x = 98,520.74
  5. Step 5: Solve for x
    x = 98,520.74/346.13
  6. Step 6: Final answer
    x = 284.64

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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.