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Finding the Fourth Proportional to 529.74, 794.94 and 286.43

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Solution

The fourth proportional to 529.74, 794.94 and 286.43 is: 429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.74 : 794.94 = 286.43 : x
  2. Step 2: Convert to fraction form
    529.74/794.94 = 286.43/x
  3. Step 3: Cross multiply
    529.74x = 794.94 × 286.43
  4. Step 4: Simplify right side
    529.74x = 227,694.66
  5. Step 5: Solve for x
    x = 227,694.66/529.74
  6. Step 6: Final answer
    x = 429.82

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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.