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Finding the Fourth Proportional to 479.61, 719.23 and 171.38

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Solution

The fourth proportional to 479.61, 719.23 and 171.38 is: 257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.61 : 719.23 = 171.38 : x
  2. Step 2: Convert to fraction form
    479.61/719.23 = 171.38/x
  3. Step 3: Cross multiply
    479.61x = 719.23 × 171.38
  4. Step 4: Simplify right side
    479.61x = 123,258.04
  5. Step 5: Solve for x
    x = 123,258.04/479.61
  6. Step 6: Final answer
    x = 257.00

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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.