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Finding the Fourth Proportional to 470.85, 649.71 and 284.34

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Solution

The fourth proportional to 470.85, 649.71 and 284.34 is: 392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.85 : 649.71 = 284.34 : x
  2. Step 2: Convert to fraction form
    470.85/649.71 = 284.34/x
  3. Step 3: Cross multiply
    470.85x = 649.71 × 284.34
  4. Step 4: Simplify right side
    470.85x = 184,738.54
  5. Step 5: Solve for x
    x = 184,738.54/470.85
  6. Step 6: Final answer
    x = 392.35

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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.