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Finding the Fourth Proportional to 566.52, 848.07 and 511.44

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Solution

The fourth proportional to 566.52, 848.07 and 511.44 is: 765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.52 : 848.07 = 511.44 : x
  2. Step 2: Convert to fraction form
    566.52/848.07 = 511.44/x
  3. Step 3: Cross multiply
    566.52x = 848.07 × 511.44
  4. Step 4: Simplify right side
    566.52x = 433,736.92
  5. Step 5: Solve for x
    x = 433,736.92/566.52
  6. Step 6: Final answer
    x = 765.62

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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.