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Finding the Fourth Proportional to 578.52, 798.66 and 566.64

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Solution

The fourth proportional to 578.52, 798.66 and 566.64 is: 782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.52 : 798.66 = 566.64 : x
  2. Step 2: Convert to fraction form
    578.52/798.66 = 566.64/x
  3. Step 3: Cross multiply
    578.52x = 798.66 × 566.64
  4. Step 4: Simplify right side
    578.52x = 452,552.70
  5. Step 5: Solve for x
    x = 452,552.70/578.52
  6. Step 6: Final answer
    x = 782.26

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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.