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Finding the Fourth Proportional to 479.94, 719.84 and 171.75

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Solution

The fourth proportional to 479.94, 719.84 and 171.75 is: 257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.94 : 719.84 = 171.75 : x
  2. Step 2: Convert to fraction form
    479.94/719.84 = 171.75/x
  3. Step 3: Cross multiply
    479.94x = 719.84 × 171.75
  4. Step 4: Simplify right side
    479.94x = 123,631.66
  5. Step 5: Solve for x
    x = 123,631.66/479.94
  6. Step 6: Final answer
    x = 257.60

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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.