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Finding the Fourth Proportional to 470.83, 649.74 and 284.48

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Solution

The fourth proportional to 470.83, 649.74 and 284.48 is: 392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.83 : 649.74 = 284.48 : x
  2. Step 2: Convert to fraction form
    470.83/649.74 = 284.48/x
  3. Step 3: Cross multiply
    470.83x = 649.74 × 284.48
  4. Step 4: Simplify right side
    470.83x = 184,838.04
  5. Step 5: Solve for x
    x = 184,838.04/470.83
  6. Step 6: Final answer
    x = 392.58

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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.