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Finding the Fourth Proportional to 479.54, 719.42 and 171.42

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Solution

The fourth proportional to 479.54, 719.42 and 171.42 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.54 : 719.42 = 171.42 : x
  2. Step 2: Convert to fraction form
    479.54/719.42 = 171.42/x
  3. Step 3: Cross multiply
    479.54x = 719.42 × 171.42
  4. Step 4: Simplify right side
    479.54x = 123,322.98
  5. Step 5: Solve for x
    x = 123,322.98/479.54
  6. Step 6: Final answer
    x = 257.17

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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.