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Finding the Fourth Proportional to 470.63, 649.46 and 286.63

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Solution

The fourth proportional to 470.63, 649.46 and 286.63 is: 395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.63 : 649.46 = 286.63 : x
  2. Step 2: Convert to fraction form
    470.63/649.46 = 286.63/x
  3. Step 3: Cross multiply
    470.63x = 649.46 × 286.63
  4. Step 4: Simplify right side
    470.63x = 186,152.19
  5. Step 5: Solve for x
    x = 186,152.19/470.63
  6. Step 6: Final answer
    x = 395.54

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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.