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Finding the Fourth Proportional to 470.39, 649.13 and 283.82

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Solution

The fourth proportional to 470.39, 649.13 and 283.82 is: 391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.39 : 649.13 = 283.82 : x
  2. Step 2: Convert to fraction form
    470.39/649.13 = 283.82/x
  3. Step 3: Cross multiply
    470.39x = 649.13 × 283.82
  4. Step 4: Simplify right side
    470.39x = 184,231.41
  5. Step 5: Solve for x
    x = 184,231.41/470.39
  6. Step 6: Final answer
    x = 391.66

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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.