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Finding the Fourth Proportional to 317.06, 474.94 and 273.72

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Solution

The fourth proportional to 317.06, 474.94 and 273.72 is: 410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.06 : 474.94 = 273.72 : x
  2. Step 2: Convert to fraction form
    317.06/474.94 = 273.72/x
  3. Step 3: Cross multiply
    317.06x = 474.94 × 273.72
  4. Step 4: Simplify right side
    317.06x = 130,000.58
  5. Step 5: Solve for x
    x = 130,000.58/317.06
  6. Step 6: Final answer
    x = 410.02

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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.