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Finding the Fourth Proportional to 491.67, 737.51 and 308.34

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Solution

The fourth proportional to 491.67, 737.51 and 308.34 is: 462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 737.51 = 308.34 : x
  2. Step 2: Convert to fraction form
    491.67/737.51 = 308.34/x
  3. Step 3: Cross multiply
    491.67x = 737.51 × 308.34
  4. Step 4: Simplify right side
    491.67x = 227,402.29
  5. Step 5: Solve for x
    x = 227,402.29/491.67
  6. Step 6: Final answer
    x = 462.51

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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.