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Finding the Fourth Proportional to 668.85, 923.04 and 389.13

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Solution

The fourth proportional to 668.85, 923.04 and 389.13 is: 537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.85 : 923.04 = 389.13 : x
  2. Step 2: Convert to fraction form
    668.85/923.04 = 389.13/x
  3. Step 3: Cross multiply
    668.85x = 923.04 × 389.13
  4. Step 4: Simplify right side
    668.85x = 359,182.56
  5. Step 5: Solve for x
    x = 359,182.56/668.85
  6. Step 6: Final answer
    x = 537.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.