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Finding the Fourth Proportional to 535.14, 800.28 and 459.09

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Solution

The fourth proportional to 535.14, 800.28 and 459.09 is: 686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.14 : 800.28 = 459.09 : x
  2. Step 2: Convert to fraction form
    535.14/800.28 = 459.09/x
  3. Step 3: Cross multiply
    535.14x = 800.28 × 459.09
  4. Step 4: Simplify right side
    535.14x = 367,400.55
  5. Step 5: Solve for x
    x = 367,400.55/535.14
  6. Step 6: Final answer
    x = 686.55

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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.