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Finding the Fourth Proportional to 578.70, 797.34 and 410.58

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Solution

The fourth proportional to 578.70, 797.34 and 410.58 is: 565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.70 : 797.34 = 410.58 : x
  2. Step 2: Convert to fraction form
    578.70/797.34 = 410.58/x
  3. Step 3: Cross multiply
    578.70x = 797.34 × 410.58
  4. Step 4: Simplify right side
    578.70x = 327,371.86
  5. Step 5: Solve for x
    x = 327,371.86/578.70
  6. Step 6: Final answer
    x = 565.70

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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.