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Finding the Fourth Proportional to 529.66, 793.50 and 286.21

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Solution

The fourth proportional to 529.66, 793.50 and 286.21 is: 428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.66 : 793.50 = 286.21 : x
  2. Step 2: Convert to fraction form
    529.66/793.50 = 286.21/x
  3. Step 3: Cross multiply
    529.66x = 793.50 × 286.21
  4. Step 4: Simplify right side
    529.66x = 227,107.64
  5. Step 5: Solve for x
    x = 227,107.64/529.66
  6. Step 6: Final answer
    x = 428.78

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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.