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Finding the Fourth Proportional to 535.14, 801.44 and 457.66

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Solution

The fourth proportional to 535.14, 801.44 and 457.66 is: 685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.14 : 801.44 = 457.66 : x
  2. Step 2: Convert to fraction form
    535.14/801.44 = 457.66/x
  3. Step 3: Cross multiply
    535.14x = 801.44 × 457.66
  4. Step 4: Simplify right side
    535.14x = 366,787.03
  5. Step 5: Solve for x
    x = 366,787.03/535.14
  6. Step 6: Final answer
    x = 685.40

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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.