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Finding the Fourth Proportional to 513.68, 709.63 and 415.26

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Solution

The fourth proportional to 513.68, 709.63 and 415.26 is: 573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.68 : 709.63 = 415.26 : x
  2. Step 2: Convert to fraction form
    513.68/709.63 = 415.26/x
  3. Step 3: Cross multiply
    513.68x = 709.63 × 415.26
  4. Step 4: Simplify right side
    513.68x = 294,679.92
  5. Step 5: Solve for x
    x = 294,679.92/513.68
  6. Step 6: Final answer
    x = 573.67

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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.