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Finding the Fourth Proportional to 669.60, 1,003.14 and 380.16

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Solution

The fourth proportional to 669.60, 1,003.14 and 380.16 is: 569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.60 : 1,003.14 = 380.16 : x
  2. Step 2: Convert to fraction form
    669.60/1,003.14 = 380.16/x
  3. Step 3: Cross multiply
    669.60x = 1,003.14 × 380.16
  4. Step 4: Simplify right side
    669.60x = 381,353.70
  5. Step 5: Solve for x
    x = 381,353.70/669.60
  6. Step 6: Final answer
    x = 569.52

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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.