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Finding the Fourth Proportional to 512.56, 708 and 414.68

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Solution

The fourth proportional to 512.56, 708 and 414.68 is: 572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.56 : 708 = 414.68 : x
  2. Step 2: Convert to fraction form
    512.56/708 = 414.68/x
  3. Step 3: Cross multiply
    512.56x = 708 × 414.68
  4. Step 4: Simplify right side
    512.56x = 293,595.21
  5. Step 5: Solve for x
    x = 293,595.21/512.56
  6. Step 6: Final answer
    x = 572.80

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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.