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Finding the Fourth Proportional to 340.57, 470.04 and 207.80

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Solution

The fourth proportional to 340.57, 470.04 and 207.80 is: 286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.57 : 470.04 = 207.80 : x
  2. Step 2: Convert to fraction form
    340.57/470.04 = 207.80/x
  3. Step 3: Cross multiply
    340.57x = 470.04 × 207.80
  4. Step 4: Simplify right side
    340.57x = 97,674.31
  5. Step 5: Solve for x
    x = 97,674.31/340.57
  6. Step 6: Final answer
    x = 286.80

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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.