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Finding the Fourth Proportional to 435.60, 600.62 and 380.24

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Solution

The fourth proportional to 435.60, 600.62 and 380.24 is: 524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.60 : 600.62 = 380.24 : x
  2. Step 2: Convert to fraction form
    435.60/600.62 = 380.24/x
  3. Step 3: Cross multiply
    435.60x = 600.62 × 380.24
  4. Step 4: Simplify right side
    435.60x = 228,379.75
  5. Step 5: Solve for x
    x = 228,379.75/435.60
  6. Step 6: Final answer
    x = 524.29

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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.