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Finding the Fourth Proportional to 470.92, 648.74 and 330.76

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Solution

The fourth proportional to 470.92, 648.74 and 330.76 is: 455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.92 : 648.74 = 330.76 : x
  2. Step 2: Convert to fraction form
    470.92/648.74 = 330.76/x
  3. Step 3: Cross multiply
    470.92x = 648.74 × 330.76
  4. Step 4: Simplify right side
    470.92x = 214,577.24
  5. Step 5: Solve for x
    x = 214,577.24/470.92
  6. Step 6: Final answer
    x = 455.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.