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Finding the Fourth Proportional to 340.90, 470.29 and 208.08

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Solution

The fourth proportional to 340.90, 470.29 and 208.08 is: 287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.90 : 470.29 = 208.08 : x
  2. Step 2: Convert to fraction form
    340.90/470.29 = 208.08/x
  3. Step 3: Cross multiply
    340.90x = 470.29 × 208.08
  4. Step 4: Simplify right side
    340.90x = 97,857.94
  5. Step 5: Solve for x
    x = 97,857.94/340.90
  6. Step 6: Final answer
    x = 287.06

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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.