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Finding the Fourth Proportional to 526.28, 788.92 and 197.13

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Solution

The fourth proportional to 526.28, 788.92 and 197.13 is: 295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.28 : 788.92 = 197.13 : x
  2. Step 2: Convert to fraction form
    526.28/788.92 = 197.13/x
  3. Step 3: Cross multiply
    526.28x = 788.92 × 197.13
  4. Step 4: Simplify right side
    526.28x = 155,523.00
  5. Step 5: Solve for x
    x = 155,523.00/526.28
  6. Step 6: Final answer
    x = 295.51

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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.