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Finding the Fourth Proportional to 535.21, 801.09 and 458.26

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Solution

The fourth proportional to 535.21, 801.09 and 458.26 is: 685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.21 : 801.09 = 458.26 : x
  2. Step 2: Convert to fraction form
    535.21/801.09 = 458.26/x
  3. Step 3: Cross multiply
    535.21x = 801.09 × 458.26
  4. Step 4: Simplify right side
    535.21x = 367,105.50
  5. Step 5: Solve for x
    x = 367,105.50/535.21
  6. Step 6: Final answer
    x = 685.91

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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.