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Finding the Fourth Proportional to 346.47, 477.96 and 206.51

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Solution

The fourth proportional to 346.47, 477.96 and 206.51 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.47 : 477.96 = 206.51 : x
  2. Step 2: Convert to fraction form
    346.47/477.96 = 206.51/x
  3. Step 3: Cross multiply
    346.47x = 477.96 × 206.51
  4. Step 4: Simplify right side
    346.47x = 98,701.13
  5. Step 5: Solve for x
    x = 98,701.13/346.47
  6. Step 6: Final answer
    x = 284.88

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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.