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Finding the Fourth Proportional to 479.73, 719.52 and 133.10

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Solution

The fourth proportional to 479.73, 719.52 and 133.10 is: 199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.73 : 719.52 = 133.10 : x
  2. Step 2: Convert to fraction form
    479.73/719.52 = 133.10/x
  3. Step 3: Cross multiply
    479.73x = 719.52 × 133.10
  4. Step 4: Simplify right side
    479.73x = 95,764.51
  5. Step 5: Solve for x
    x = 95,764.51/479.73
  6. Step 6: Final answer
    x = 199.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.