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Finding the Fourth Proportional to 670.95, 1,006.09 and 305.33

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Solution

The fourth proportional to 670.95, 1,006.09 and 305.33 is: 457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.95 : 1,006.09 = 305.33 : x
  2. Step 2: Convert to fraction form
    670.95/1,006.09 = 305.33/x
  3. Step 3: Cross multiply
    670.95x = 1,006.09 × 305.33
  4. Step 4: Simplify right side
    670.95x = 307,183.67
  5. Step 5: Solve for x
    x = 307,183.67/670.95
  6. Step 6: Final answer
    x = 457.83

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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.