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Finding the Fourth Proportional to 525.26, 787.71 and 293.90

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Solution

The fourth proportional to 525.26, 787.71 and 293.90 is: 440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.26 : 787.71 = 293.90 : x
  2. Step 2: Convert to fraction form
    525.26/787.71 = 293.90/x
  3. Step 3: Cross multiply
    525.26x = 787.71 × 293.90
  4. Step 4: Simplify right side
    525.26x = 231,507.97
  5. Step 5: Solve for x
    x = 231,507.97/525.26
  6. Step 6: Final answer
    x = 440.75

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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.