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Finding the Fourth Proportional to 317.66, 474.20 and 274.61

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Solution

The fourth proportional to 317.66, 474.20 and 274.61 is: 409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.66 : 474.20 = 274.61 : x
  2. Step 2: Convert to fraction form
    317.66/474.20 = 274.61/x
  3. Step 3: Cross multiply
    317.66x = 474.20 × 274.61
  4. Step 4: Simplify right side
    317.66x = 130,220.06
  5. Step 5: Solve for x
    x = 130,220.06/317.66
  6. Step 6: Final answer
    x = 409.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.