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Finding the Fourth Proportional to 578.42, 863.46 and 537.42

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Solution

The fourth proportional to 578.42, 863.46 and 537.42 is: 802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.42 : 863.46 = 537.42 : x
  2. Step 2: Convert to fraction form
    578.42/863.46 = 537.42/x
  3. Step 3: Cross multiply
    578.42x = 863.46 × 537.42
  4. Step 4: Simplify right side
    578.42x = 464,040.67
  5. Step 5: Solve for x
    x = 464,040.67/578.42
  6. Step 6: Final answer
    x = 802.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.