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Finding the Fourth Proportional to 312.46, 470.51 and 274.36

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Solution

The fourth proportional to 312.46, 470.51 and 274.36 is: 413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.46 : 470.51 = 274.36 : x
  2. Step 2: Convert to fraction form
    312.46/470.51 = 274.36/x
  3. Step 3: Cross multiply
    312.46x = 470.51 × 274.36
  4. Step 4: Simplify right side
    312.46x = 129,089.12
  5. Step 5: Solve for x
    x = 129,089.12/312.46
  6. Step 6: Final answer
    x = 413.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.