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Finding the Fourth Proportional to 529.02, 792.12 and 284.79

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Solution

The fourth proportional to 529.02, 792.12 and 284.79 is: 426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.02 : 792.12 = 284.79 : x
  2. Step 2: Convert to fraction form
    529.02/792.12 = 284.79/x
  3. Step 3: Cross multiply
    529.02x = 792.12 × 284.79
  4. Step 4: Simplify right side
    529.02x = 225,587.85
  5. Step 5: Solve for x
    x = 225,587.85/529.02
  6. Step 6: Final answer
    x = 426.43

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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.