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Finding the Fourth Proportional to 670.08, 1,004.94 and 323.66

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Solution

The fourth proportional to 670.08, 1,004.94 and 323.66 is: 485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.08 : 1,004.94 = 323.66 : x
  2. Step 2: Convert to fraction form
    670.08/1,004.94 = 323.66/x
  3. Step 3: Cross multiply
    670.08x = 1,004.94 × 323.66
  4. Step 4: Simplify right side
    670.08x = 325,258.88
  5. Step 5: Solve for x
    x = 325,258.88/670.08
  6. Step 6: Final answer
    x = 485.40

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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.