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Finding the Fourth Proportional to 578.48, 863.55 and 537.47

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Solution

The fourth proportional to 578.48, 863.55 and 537.47 is: 802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.48 : 863.55 = 537.47 : x
  2. Step 2: Convert to fraction form
    578.48/863.55 = 537.47/x
  3. Step 3: Cross multiply
    578.48x = 863.55 × 537.47
  4. Step 4: Simplify right side
    578.48x = 464,134.38
  5. Step 5: Solve for x
    x = 464,134.38/578.48
  6. Step 6: Final answer
    x = 802.33

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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.