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Finding the Fourth Proportional to 515.03, 771.16 and 309.31

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Solution

The fourth proportional to 515.03, 771.16 and 309.31 is: 463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.03 : 771.16 = 309.31 : x
  2. Step 2: Convert to fraction form
    515.03/771.16 = 309.31/x
  3. Step 3: Cross multiply
    515.03x = 771.16 × 309.31
  4. Step 4: Simplify right side
    515.03x = 238,524.80
  5. Step 5: Solve for x
    x = 238,524.80/515.03
  6. Step 6: Final answer
    x = 463.13

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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.