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Finding the Fourth Proportional to 532.14, 799.05 and 511.50

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Solution

The fourth proportional to 532.14, 799.05 and 511.50 is: 768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.14 : 799.05 = 511.50 : x
  2. Step 2: Convert to fraction form
    532.14/799.05 = 511.50/x
  3. Step 3: Cross multiply
    532.14x = 799.05 × 511.50
  4. Step 4: Simplify right side
    532.14x = 408,714.08
  5. Step 5: Solve for x
    x = 408,714.08/532.14
  6. Step 6: Final answer
    x = 768.06

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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.