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Finding the Fourth Proportional to 578.31, 797.62 and 512.00

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Solution

The fourth proportional to 578.31, 797.62 and 512.00 is: 706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.31 : 797.62 = 512.00 : x
  2. Step 2: Convert to fraction form
    578.31/797.62 = 512.00/x
  3. Step 3: Cross multiply
    578.31x = 797.62 × 512.00
  4. Step 4: Simplify right side
    578.31x = 408,374.89
  5. Step 5: Solve for x
    x = 408,374.89/578.31
  6. Step 6: Final answer
    x = 706.15

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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.