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Finding the Fourth Proportional to 532.83, 800.60 and 511.23

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Solution

The fourth proportional to 532.83, 800.60 and 511.23 is: 768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.83 : 800.60 = 511.23 : x
  2. Step 2: Convert to fraction form
    532.83/800.60 = 511.23/x
  3. Step 3: Cross multiply
    532.83x = 800.60 × 511.23
  4. Step 4: Simplify right side
    532.83x = 409,288.18
  5. Step 5: Solve for x
    x = 409,288.18/532.83
  6. Step 6: Final answer
    x = 768.14

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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.