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Finding the Fourth Proportional to 462.94, 695.67 and 246.67

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Solution

The fourth proportional to 462.94, 695.67 and 246.67 is: 370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.94 : 695.67 = 246.67 : x
  2. Step 2: Convert to fraction form
    462.94/695.67 = 246.67/x
  3. Step 3: Cross multiply
    462.94x = 695.67 × 246.67
  4. Step 4: Simplify right side
    462.94x = 171,600.92
  5. Step 5: Solve for x
    x = 171,600.92/462.94
  6. Step 6: Final answer
    x = 370.68

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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.