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Finding the Fourth Proportional to 670.46, 1,005.86 and 208.28

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Solution

The fourth proportional to 670.46, 1,005.86 and 208.28 is: 312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.46 : 1,005.86 = 208.28 : x
  2. Step 2: Convert to fraction form
    670.46/1,005.86 = 208.28/x
  3. Step 3: Cross multiply
    670.46x = 1,005.86 × 208.28
  4. Step 4: Simplify right side
    670.46x = 209,500.52
  5. Step 5: Solve for x
    x = 209,500.52/670.46
  6. Step 6: Final answer
    x = 312.47

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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.