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Finding the Fourth Proportional to 470.84, 649.66 and 284.44

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Solution

The fourth proportional to 470.84, 649.66 and 284.44 is: 392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.84 : 649.66 = 284.44 : x
  2. Step 2: Convert to fraction form
    470.84/649.66 = 284.44/x
  3. Step 3: Cross multiply
    470.84x = 649.66 × 284.44
  4. Step 4: Simplify right side
    470.84x = 184,789.29
  5. Step 5: Solve for x
    x = 184,789.29/470.84
  6. Step 6: Final answer
    x = 392.47

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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.