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Finding the Fourth Proportional to 515.25, 771.66 and 433.44

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Solution

The fourth proportional to 515.25, 771.66 and 433.44 is: 649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.25 : 771.66 = 433.44 : x
  2. Step 2: Convert to fraction form
    515.25/771.66 = 433.44/x
  3. Step 3: Cross multiply
    515.25x = 771.66 × 433.44
  4. Step 4: Simplify right side
    515.25x = 334,468.31
  5. Step 5: Solve for x
    x = 334,468.31/515.25
  6. Step 6: Final answer
    x = 649.14

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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.