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Finding the Fourth Proportional to 512.36, 769.06 and 375.00

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Solution

The fourth proportional to 512.36, 769.06 and 375.00 is: 562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.36 : 769.06 = 375.00 : x
  2. Step 2: Convert to fraction form
    512.36/769.06 = 375.00/x
  3. Step 3: Cross multiply
    512.36x = 769.06 × 375.00
  4. Step 4: Simplify right side
    512.36x = 288,395.08
  5. Step 5: Solve for x
    x = 288,395.08/512.36
  6. Step 6: Final answer
    x = 562.88

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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.