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Finding the Fourth Proportional to 513.24, 708.66 and 415.44

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Solution

The fourth proportional to 513.24, 708.66 and 415.44 is: 573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 708.66 = 415.44 : x
  2. Step 2: Convert to fraction form
    513.24/708.66 = 415.44/x
  3. Step 3: Cross multiply
    513.24x = 708.66 × 415.44
  4. Step 4: Simplify right side
    513.24x = 294,405.71
  5. Step 5: Solve for x
    x = 294,405.71/513.24
  6. Step 6: Final answer
    x = 573.62

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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.