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Finding the Fourth Proportional to 505.43, 697.52 and 292.80

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Solution

The fourth proportional to 505.43, 697.52 and 292.80 is: 404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.43 : 697.52 = 292.80 : x
  2. Step 2: Convert to fraction form
    505.43/697.52 = 292.80/x
  3. Step 3: Cross multiply
    505.43x = 697.52 × 292.80
  4. Step 4: Simplify right side
    505.43x = 204,237.20
  5. Step 5: Solve for x
    x = 204,237.20/505.43
  6. Step 6: Final answer
    x = 404.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.