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Finding the Fourth Proportional to 515.03, 772.63 and 284.03

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Solution

The fourth proportional to 515.03, 772.63 and 284.03 is: 426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.03 : 772.63 = 284.03 : x
  2. Step 2: Convert to fraction form
    515.03/772.63 = 284.03/x
  3. Step 3: Cross multiply
    515.03x = 772.63 × 284.03
  4. Step 4: Simplify right side
    515.03x = 219,450.10
  5. Step 5: Solve for x
    x = 219,450.10/515.03
  6. Step 6: Final answer
    x = 426.09

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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.