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Finding the Fourth Proportional to 529.87, 794.35 and 205.46

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Solution

The fourth proportional to 529.87, 794.35 and 205.46 is: 308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.87 : 794.35 = 205.46 : x
  2. Step 2: Convert to fraction form
    529.87/794.35 = 205.46/x
  3. Step 3: Cross multiply
    529.87x = 794.35 × 205.46
  4. Step 4: Simplify right side
    529.87x = 163,207.15
  5. Step 5: Solve for x
    x = 163,207.15/529.87
  6. Step 6: Final answer
    x = 308.01

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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.