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Finding the Fourth Proportional to 528.52, 733.75 and 512.68

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Solution

The fourth proportional to 528.52, 733.75 and 512.68 is: 711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.52 : 733.75 = 512.68 : x
  2. Step 2: Convert to fraction form
    528.52/733.75 = 512.68/x
  3. Step 3: Cross multiply
    528.52x = 733.75 × 512.68
  4. Step 4: Simplify right side
    528.52x = 376,178.95
  5. Step 5: Solve for x
    x = 376,178.95/528.52
  6. Step 6: Final answer
    x = 711.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.