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Finding the Fourth Proportional to 515.12, 711.84 and 450.32

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Solution

The fourth proportional to 515.12, 711.84 and 450.32 is: 622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.12 : 711.84 = 450.32 : x
  2. Step 2: Convert to fraction form
    515.12/711.84 = 450.32/x
  3. Step 3: Cross multiply
    515.12x = 711.84 × 450.32
  4. Step 4: Simplify right side
    515.12x = 320,555.79
  5. Step 5: Solve for x
    x = 320,555.79/515.12
  6. Step 6: Final answer
    x = 622.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.