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Finding the Fourth Proportional to 513.46, 707.97 and 414.91

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Solution

The fourth proportional to 513.46, 707.97 and 414.91 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.46 : 707.97 = 414.91 : x
  2. Step 2: Convert to fraction form
    513.46/707.97 = 414.91/x
  3. Step 3: Cross multiply
    513.46x = 707.97 × 414.91
  4. Step 4: Simplify right side
    513.46x = 293,743.83
  5. Step 5: Solve for x
    x = 293,743.83/513.46
  6. Step 6: Final answer
    x = 572.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.