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Finding the Fourth Proportional to 513.56, 709.38 and 415.68

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Solution

The fourth proportional to 513.56, 709.38 and 415.68 is: 574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.56 : 709.38 = 415.68 : x
  2. Step 2: Convert to fraction form
    513.56/709.38 = 415.68/x
  3. Step 3: Cross multiply
    513.56x = 709.38 × 415.68
  4. Step 4: Simplify right side
    513.56x = 294,875.08
  5. Step 5: Solve for x
    x = 294,875.08/513.56
  6. Step 6: Final answer
    x = 574.18

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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.