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Finding the Fourth Proportional to 669.27, 1,003.98 and 360.69

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Solution

The fourth proportional to 669.27, 1,003.98 and 360.69 is: 541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.27 : 1,003.98 = 360.69 : x
  2. Step 2: Convert to fraction form
    669.27/1,003.98 = 360.69/x
  3. Step 3: Cross multiply
    669.27x = 1,003.98 × 360.69
  4. Step 4: Simplify right side
    669.27x = 362,125.55
  5. Step 5: Solve for x
    x = 362,125.55/669.27
  6. Step 6: Final answer
    x = 541.08

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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.