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Finding the Fourth Proportional to 515.53, 772.61 and 296.26

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Solution

The fourth proportional to 515.53, 772.61 and 296.26 is: 443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.53 : 772.61 = 296.26 : x
  2. Step 2: Convert to fraction form
    515.53/772.61 = 296.26/x
  3. Step 3: Cross multiply
    515.53x = 772.61 × 296.26
  4. Step 4: Simplify right side
    515.53x = 228,890.03
  5. Step 5: Solve for x
    x = 228,890.03/515.53
  6. Step 6: Final answer
    x = 443.99

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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.