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Finding the Fourth Proportional to 307.86, 462.18 and 304.80

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Solution

The fourth proportional to 307.86, 462.18 and 304.80 is: 457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.86 : 462.18 = 304.80 : x
  2. Step 2: Convert to fraction form
    307.86/462.18 = 304.80/x
  3. Step 3: Cross multiply
    307.86x = 462.18 × 304.80
  4. Step 4: Simplify right side
    307.86x = 140,872.46
  5. Step 5: Solve for x
    x = 140,872.46/307.86
  6. Step 6: Final answer
    x = 457.59

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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.