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Finding the Fourth Proportional to 515.08, 772.89 and 284.01

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Solution

The fourth proportional to 515.08, 772.89 and 284.01 is: 426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.08 : 772.89 = 284.01 : x
  2. Step 2: Convert to fraction form
    515.08/772.89 = 284.01/x
  3. Step 3: Cross multiply
    515.08x = 772.89 × 284.01
  4. Step 4: Simplify right side
    515.08x = 219,508.49
  5. Step 5: Solve for x
    x = 219,508.49/515.08
  6. Step 6: Final answer
    x = 426.16

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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.