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Finding the Fourth Proportional to 573.36, 855.64 and 511.85

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Solution

The fourth proportional to 573.36, 855.64 and 511.85 is: 763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.36 : 855.64 = 511.85 : x
  2. Step 2: Convert to fraction form
    573.36/855.64 = 511.85/x
  3. Step 3: Cross multiply
    573.36x = 855.64 × 511.85
  4. Step 4: Simplify right side
    573.36x = 437,953.78
  5. Step 5: Solve for x
    x = 437,953.78/573.36
  6. Step 6: Final answer
    x = 763.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.