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Finding the Fourth Proportional to 512.30, 766.62 and 410.24

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Solution

The fourth proportional to 512.30, 766.62 and 410.24 is: 613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.30 : 766.62 = 410.24 : x
  2. Step 2: Convert to fraction form
    512.30/766.62 = 410.24/x
  3. Step 3: Cross multiply
    512.30x = 766.62 × 410.24
  4. Step 4: Simplify right side
    512.30x = 314,498.19
  5. Step 5: Solve for x
    x = 314,498.19/512.30
  6. Step 6: Final answer
    x = 613.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.