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Finding the Fourth Proportional to 513.05, 707.94 and 303.11

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Solution

The fourth proportional to 513.05, 707.94 and 303.11 is: 418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.05 : 707.94 = 303.11 : x
  2. Step 2: Convert to fraction form
    513.05/707.94 = 303.11/x
  3. Step 3: Cross multiply
    513.05x = 707.94 × 303.11
  4. Step 4: Simplify right side
    513.05x = 214,583.69
  5. Step 5: Solve for x
    x = 214,583.69/513.05
  6. Step 6: Final answer
    x = 418.25

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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.