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Finding the Fourth Proportional to 535.47, 801.67 and 419.29

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Solution

The fourth proportional to 535.47, 801.67 and 419.29 is: 627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.47 : 801.67 = 419.29 : x
  2. Step 2: Convert to fraction form
    535.47/801.67 = 419.29/x
  3. Step 3: Cross multiply
    535.47x = 801.67 × 419.29
  4. Step 4: Simplify right side
    535.47x = 336,132.25
  5. Step 5: Solve for x
    x = 336,132.25/535.47
  6. Step 6: Final answer
    x = 627.73

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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.