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Finding the Fourth Proportional to 340.64, 470.01 and 207.88

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Solution

The fourth proportional to 340.64, 470.01 and 207.88 is: 286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.64 : 470.01 = 207.88 : x
  2. Step 2: Convert to fraction form
    340.64/470.01 = 207.88/x
  3. Step 3: Cross multiply
    340.64x = 470.01 × 207.88
  4. Step 4: Simplify right side
    340.64x = 97,705.68
  5. Step 5: Solve for x
    x = 97,705.68/340.64
  6. Step 6: Final answer
    x = 286.83

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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.