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Finding the Fourth Proportional to 575.72, 863.19 and 283.29

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Solution

The fourth proportional to 575.72, 863.19 and 283.29 is: 424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.72 : 863.19 = 283.29 : x
  2. Step 2: Convert to fraction form
    575.72/863.19 = 283.29/x
  3. Step 3: Cross multiply
    575.72x = 863.19 × 283.29
  4. Step 4: Simplify right side
    575.72x = 244,533.10
  5. Step 5: Solve for x
    x = 244,533.10/575.72
  6. Step 6: Final answer
    x = 424.74

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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.