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Finding the Fourth Proportional to 575.78, 863.71 and 283.53

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Solution

The fourth proportional to 575.78, 863.71 and 283.53 is: 425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.78 : 863.71 = 283.53 : x
  2. Step 2: Convert to fraction form
    575.78/863.71 = 283.53/x
  3. Step 3: Cross multiply
    575.78x = 863.71 × 283.53
  4. Step 4: Simplify right side
    575.78x = 244,884.53
  5. Step 5: Solve for x
    x = 244,884.53/575.78
  6. Step 6: Final answer
    x = 425.31

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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.