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Finding the Fourth Proportional to 578.56, 798.32 and 410.90

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Solution

The fourth proportional to 578.56, 798.32 and 410.90 is: 566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.56 : 798.32 = 410.90 : x
  2. Step 2: Convert to fraction form
    578.56/798.32 = 410.90/x
  3. Step 3: Cross multiply
    578.56x = 798.32 × 410.90
  4. Step 4: Simplify right side
    578.56x = 328,029.69
  5. Step 5: Solve for x
    x = 328,029.69/578.56
  6. Step 6: Final answer
    x = 566.98

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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.