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Finding the Fourth Proportional to 529.75, 793.90 and 286.39

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Solution

The fourth proportional to 529.75, 793.90 and 286.39 is: 429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.75 : 793.90 = 286.39 : x
  2. Step 2: Convert to fraction form
    529.75/793.90 = 286.39/x
  3. Step 3: Cross multiply
    529.75x = 793.90 × 286.39
  4. Step 4: Simplify right side
    529.75x = 227,365.02
  5. Step 5: Solve for x
    x = 227,365.02/529.75
  6. Step 6: Final answer
    x = 429.19

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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.