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Finding the Fourth Proportional to 312.57, 468.45 and 274.23

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Solution

The fourth proportional to 312.57, 468.45 and 274.23 is: 410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.57 : 468.45 = 274.23 : x
  2. Step 2: Convert to fraction form
    312.57/468.45 = 274.23/x
  3. Step 3: Cross multiply
    312.57x = 468.45 × 274.23
  4. Step 4: Simplify right side
    312.57x = 128,463.04
  5. Step 5: Solve for x
    x = 128,463.04/312.57
  6. Step 6: Final answer
    x = 410.99

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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.