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Finding the Fourth Proportional to 670.69, 1,006.15 and 324.64

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Solution

The fourth proportional to 670.69, 1,006.15 and 324.64 is: 487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.69 : 1,006.15 = 324.64 : x
  2. Step 2: Convert to fraction form
    670.69/1,006.15 = 324.64/x
  3. Step 3: Cross multiply
    670.69x = 1,006.15 × 324.64
  4. Step 4: Simplify right side
    670.69x = 326,636.54
  5. Step 5: Solve for x
    x = 326,636.54/670.69
  6. Step 6: Final answer
    x = 487.02

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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.