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Finding the Fourth Proportional to 521.90, 782.88 and 197.26

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Solution

The fourth proportional to 521.90, 782.88 and 197.26 is: 295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.90 : 782.88 = 197.26 : x
  2. Step 2: Convert to fraction form
    521.90/782.88 = 197.26/x
  3. Step 3: Cross multiply
    521.90x = 782.88 × 197.26
  4. Step 4: Simplify right side
    521.90x = 154,430.91
  5. Step 5: Solve for x
    x = 154,430.91/521.90
  6. Step 6: Final answer
    x = 295.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.