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Finding the Fourth Proportional to 578.81, 798.31 and 512.50

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Solution

The fourth proportional to 578.81, 798.31 and 512.50 is: 706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.81 : 798.31 = 512.50 : x
  2. Step 2: Convert to fraction form
    578.81/798.31 = 512.50/x
  3. Step 3: Cross multiply
    578.81x = 798.31 × 512.50
  4. Step 4: Simplify right side
    578.81x = 409,127.32
  5. Step 5: Solve for x
    x = 409,127.32/578.81
  6. Step 6: Final answer
    x = 706.84

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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.