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Finding the Fourth Proportional to 535.83, 804.24 and 414.87

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Solution

The fourth proportional to 535.83, 804.24 and 414.87 is: 622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.83 : 804.24 = 414.87 : x
  2. Step 2: Convert to fraction form
    535.83/804.24 = 414.87/x
  3. Step 3: Cross multiply
    535.83x = 804.24 × 414.87
  4. Step 4: Simplify right side
    535.83x = 333,655.05
  5. Step 5: Solve for x
    x = 333,655.05/535.83
  6. Step 6: Final answer
    x = 622.69

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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.