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Finding the Fourth Proportional to 451.08, 677.84 and 307.71

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Solution

The fourth proportional to 451.08, 677.84 and 307.71 is: 462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.08 : 677.84 = 307.71 : x
  2. Step 2: Convert to fraction form
    451.08/677.84 = 307.71/x
  3. Step 3: Cross multiply
    451.08x = 677.84 × 307.71
  4. Step 4: Simplify right side
    451.08x = 208,576.61
  5. Step 5: Solve for x
    x = 208,576.61/451.08
  6. Step 6: Final answer
    x = 462.39

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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.