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Finding the Fourth Proportional to 317.78, 476.73 and 173.46

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Solution

The fourth proportional to 317.78, 476.73 and 173.46 is: 260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.78 : 476.73 = 173.46 : x
  2. Step 2: Convert to fraction form
    317.78/476.73 = 173.46/x
  3. Step 3: Cross multiply
    317.78x = 476.73 × 173.46
  4. Step 4: Simplify right side
    317.78x = 82,693.59
  5. Step 5: Solve for x
    x = 82,693.59/317.78
  6. Step 6: Final answer
    x = 260.23

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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.