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Finding the Fourth Proportional to 669.34, 1,004.06 and 380.17

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Solution

The fourth proportional to 669.34, 1,004.06 and 380.17 is: 570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.34 : 1,004.06 = 380.17 : x
  2. Step 2: Convert to fraction form
    669.34/1,004.06 = 380.17/x
  3. Step 3: Cross multiply
    669.34x = 1,004.06 × 380.17
  4. Step 4: Simplify right side
    669.34x = 381,713.49
  5. Step 5: Solve for x
    x = 381,713.49/669.34
  6. Step 6: Final answer
    x = 570.28

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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.