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Finding the Fourth Proportional to 529.87, 794.84 and 205.23

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Solution

The fourth proportional to 529.87, 794.84 and 205.23 is: 307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.87 : 794.84 = 205.23 : x
  2. Step 2: Convert to fraction form
    529.87/794.84 = 205.23/x
  3. Step 3: Cross multiply
    529.87x = 794.84 × 205.23
  4. Step 4: Simplify right side
    529.87x = 163,123.99
  5. Step 5: Solve for x
    x = 163,123.99/529.87
  6. Step 6: Final answer
    x = 307.86

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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.