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Finding the Fourth Proportional to 515.19, 712.09 and 433.49

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Solution

The fourth proportional to 515.19, 712.09 and 433.49 is: 599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.19 : 712.09 = 433.49 : x
  2. Step 2: Convert to fraction form
    515.19/712.09 = 433.49/x
  3. Step 3: Cross multiply
    515.19x = 712.09 × 433.49
  4. Step 4: Simplify right side
    515.19x = 308,680.88
  5. Step 5: Solve for x
    x = 308,680.88/515.19
  6. Step 6: Final answer
    x = 599.15

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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.