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Finding the Fourth Proportional to 470.96, 649.65 and 284.34

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Solution

The fourth proportional to 470.96, 649.65 and 284.34 is: 392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.96 : 649.65 = 284.34 : x
  2. Step 2: Convert to fraction form
    470.96/649.65 = 284.34/x
  3. Step 3: Cross multiply
    470.96x = 649.65 × 284.34
  4. Step 4: Simplify right side
    470.96x = 184,720.06
  5. Step 5: Solve for x
    x = 184,720.06/470.96
  6. Step 6: Final answer
    x = 392.22

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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.