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Finding the Fourth Proportional to 470.83, 649.76 and 284.28

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Solution

The fourth proportional to 470.83, 649.76 and 284.28 is: 392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.83 : 649.76 = 284.28 : x
  2. Step 2: Convert to fraction form
    470.83/649.76 = 284.28/x
  3. Step 3: Cross multiply
    470.83x = 649.76 × 284.28
  4. Step 4: Simplify right side
    470.83x = 184,713.06
  5. Step 5: Solve for x
    x = 184,713.06/470.83
  6. Step 6: Final answer
    x = 392.32

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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.