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Finding the Fourth Proportional to 512.96, 707.01 and 414.68

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Solution

The fourth proportional to 512.96, 707.01 and 414.68 is: 571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.96 : 707.01 = 414.68 : x
  2. Step 2: Convert to fraction form
    512.96/707.01 = 414.68/x
  3. Step 3: Cross multiply
    512.96x = 707.01 × 414.68
  4. Step 4: Simplify right side
    512.96x = 293,179.37
  5. Step 5: Solve for x
    x = 293,179.37/512.96
  6. Step 6: Final answer
    x = 571.55

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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.