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Finding the Fourth Proportional to 346.15, 477.74 and 206.34

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Solution

The fourth proportional to 346.15, 477.74 and 206.34 is: 284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.15 : 477.74 = 206.34 : x
  2. Step 2: Convert to fraction form
    346.15/477.74 = 206.34/x
  3. Step 3: Cross multiply
    346.15x = 477.74 × 206.34
  4. Step 4: Simplify right side
    346.15x = 98,579.18
  5. Step 5: Solve for x
    x = 98,579.18/346.15
  6. Step 6: Final answer
    x = 284.79

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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.