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Finding the Fourth Proportional to 479.92, 660.24 and 420.76

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Solution

The fourth proportional to 479.92, 660.24 and 420.76 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.92 : 660.24 = 420.76 : x
  2. Step 2: Convert to fraction form
    479.92/660.24 = 420.76/x
  3. Step 3: Cross multiply
    479.92x = 660.24 × 420.76
  4. Step 4: Simplify right side
    479.92x = 277,802.58
  5. Step 5: Solve for x
    x = 277,802.58/479.92
  6. Step 6: Final answer
    x = 578.85

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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.