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Finding the Fourth Proportional to 578.20, 865.70 and 562.20

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Solution

The fourth proportional to 578.20, 865.70 and 562.20 is: 841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.20 : 865.70 = 562.20 : x
  2. Step 2: Convert to fraction form
    578.20/865.70 = 562.20/x
  3. Step 3: Cross multiply
    578.20x = 865.70 × 562.20
  4. Step 4: Simplify right side
    578.20x = 486,696.54
  5. Step 5: Solve for x
    x = 486,696.54/578.20
  6. Step 6: Final answer
    x = 841.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.