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Finding the Fourth Proportional to 670.43, 1,005.80 and 208.22

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Solution

The fourth proportional to 670.43, 1,005.80 and 208.22 is: 312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.43 : 1,005.80 = 208.22 : x
  2. Step 2: Convert to fraction form
    670.43/1,005.80 = 208.22/x
  3. Step 3: Cross multiply
    670.43x = 1,005.80 × 208.22
  4. Step 4: Simplify right side
    670.43x = 209,429.15
  5. Step 5: Solve for x
    x = 209,429.15/670.43
  6. Step 6: Final answer
    x = 312.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.