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Finding the Fourth Proportional to 600.08, 828.24 and 411.08

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Solution

The fourth proportional to 600.08, 828.24 and 411.08 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.08 : 828.24 = 411.08 : x
  2. Step 2: Convert to fraction form
    600.08/828.24 = 411.08/x
  3. Step 3: Cross multiply
    600.08x = 828.24 × 411.08
  4. Step 4: Simplify right side
    600.08x = 340,472.90
  5. Step 5: Solve for x
    x = 340,472.90/600.08
  6. Step 6: Final answer
    x = 567.38

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1.5x scale

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.