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Finding the Fourth Proportional to 600.31, 828.66 and 469.36

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Solution

The fourth proportional to 600.31, 828.66 and 469.36 is: 647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.31 : 828.66 = 469.36 : x
  2. Step 2: Convert to fraction form
    600.31/828.66 = 469.36/x
  3. Step 3: Cross multiply
    600.31x = 828.66 × 469.36
  4. Step 4: Simplify right side
    600.31x = 388,939.86
  5. Step 5: Solve for x
    x = 388,939.86/600.31
  6. Step 6: Final answer
    x = 647.90

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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.