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Finding the Fourth Proportional to 600.15, 828.60 and 387.57

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Solution

The fourth proportional to 600.15, 828.60 and 387.57 is: 535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.15 : 828.60 = 387.57 : x
  2. Step 2: Convert to fraction form
    600.15/828.60 = 387.57/x
  3. Step 3: Cross multiply
    600.15x = 828.60 × 387.57
  4. Step 4: Simplify right side
    600.15x = 321,140.50
  5. Step 5: Solve for x
    x = 321,140.50/600.15
  6. Step 6: Final answer
    x = 535.10

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