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Finding the Fourth Proportional to 529.76, 796.08 and 299

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Solution

The fourth proportional to 529.76, 796.08 and 299 is: 449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 796.08 = 299 : x
  2. Step 2: Convert to fraction form
    529.76/796.08 = 299/x
  3. Step 3: Cross multiply
    529.76x = 796.08 × 299
  4. Step 4: Simplify right side
    529.76x = 238,027.92
  5. Step 5: Solve for x
    x = 238,027.92/529.76
  6. Step 6: Final answer
    x = 449.31

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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.