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Finding the Fourth Proportional to 535.68, 801.70 and 414.48

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Solution

The fourth proportional to 535.68, 801.70 and 414.48 is: 620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.68 : 801.70 = 414.48 : x
  2. Step 2: Convert to fraction form
    535.68/801.70 = 414.48/x
  3. Step 3: Cross multiply
    535.68x = 801.70 × 414.48
  4. Step 4: Simplify right side
    535.68x = 332,290.59
  5. Step 5: Solve for x
    x = 332,290.59/535.68
  6. Step 6: Final answer
    x = 620.32

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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.