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Finding the Fourth Proportional to 470.76, 649.48 and 284.30

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Solution

The fourth proportional to 470.76, 649.48 and 284.30 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 649.48 = 284.30 : x
  2. Step 2: Convert to fraction form
    470.76/649.48 = 284.30/x
  3. Step 3: Cross multiply
    470.76x = 649.48 × 284.30
  4. Step 4: Simplify right side
    470.76x = 184,647.16
  5. Step 5: Solve for x
    x = 184,647.16/470.76
  6. Step 6: Final answer
    x = 392.23

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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.