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Finding the Fourth Proportional to 462.51, 694.20 and 314.25

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Solution

The fourth proportional to 462.51, 694.20 and 314.25 is: 471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.51 : 694.20 = 314.25 : x
  2. Step 2: Convert to fraction form
    462.51/694.20 = 314.25/x
  3. Step 3: Cross multiply
    462.51x = 694.20 × 314.25
  4. Step 4: Simplify right side
    462.51x = 218,150.93
  5. Step 5: Solve for x
    x = 218,150.93/462.51
  6. Step 6: Final answer
    x = 471.67

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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.