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Finding the Fourth Proportional to 513.36, 770.16 and 418.08

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Solution

The fourth proportional to 513.36, 770.16 and 418.08 is: 627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.36 : 770.16 = 418.08 : x
  2. Step 2: Convert to fraction form
    513.36/770.16 = 418.08/x
  3. Step 3: Cross multiply
    513.36x = 770.16 × 418.08
  4. Step 4: Simplify right side
    513.36x = 321,988.49
  5. Step 5: Solve for x
    x = 321,988.49/513.36
  6. Step 6: Final answer
    x = 627.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.