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Finding the Fourth Proportional to 340.38, 469.77 and 209.46

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Solution

The fourth proportional to 340.38, 469.77 and 209.46 is: 289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.38 : 469.77 = 209.46 : x
  2. Step 2: Convert to fraction form
    340.38/469.77 = 209.46/x
  3. Step 3: Cross multiply
    340.38x = 469.77 × 209.46
  4. Step 4: Simplify right side
    340.38x = 98,398.02
  5. Step 5: Solve for x
    x = 98,398.02/340.38
  6. Step 6: Final answer
    x = 289.08

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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.