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Finding the Fourth Proportional to 346.29, 477.66 and 206.31

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Solution

The fourth proportional to 346.29, 477.66 and 206.31 is: 284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.29 : 477.66 = 206.31 : x
  2. Step 2: Convert to fraction form
    346.29/477.66 = 206.31/x
  3. Step 3: Cross multiply
    346.29x = 477.66 × 206.31
  4. Step 4: Simplify right side
    346.29x = 98,543.65
  5. Step 5: Solve for x
    x = 98,543.65/346.29
  6. Step 6: Final answer
    x = 284.57

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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.