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Finding the Fourth Proportional to 470.75, 649.64 and 286.75

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Solution

The fourth proportional to 470.75, 649.64 and 286.75 is: 395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.75 : 649.64 = 286.75 : x
  2. Step 2: Convert to fraction form
    470.75/649.64 = 286.75/x
  3. Step 3: Cross multiply
    470.75x = 649.64 × 286.75
  4. Step 4: Simplify right side
    470.75x = 186,282.84
  5. Step 5: Solve for x
    x = 186,282.84/470.75
  6. Step 6: Final answer
    x = 395.72

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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.