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Finding the Fourth Proportional to 670.73, 1,006.08 and 305.25

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Solution

The fourth proportional to 670.73, 1,006.08 and 305.25 is: 457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.73 : 1,006.08 = 305.25 : x
  2. Step 2: Convert to fraction form
    670.73/1,006.08 = 305.25/x
  3. Step 3: Cross multiply
    670.73x = 1,006.08 × 305.25
  4. Step 4: Simplify right side
    670.73x = 307,105.92
  5. Step 5: Solve for x
    x = 307,105.92/670.73
  6. Step 6: Final answer
    x = 457.87

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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.