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Finding the Fourth Proportional to 512.26, 706.20 and 423.40

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Solution

The fourth proportional to 512.26, 706.20 and 423.40 is: 583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.26 : 706.20 = 423.40 : x
  2. Step 2: Convert to fraction form
    512.26/706.20 = 423.40/x
  3. Step 3: Cross multiply
    512.26x = 706.20 × 423.40
  4. Step 4: Simplify right side
    512.26x = 299,005.08
  5. Step 5: Solve for x
    x = 299,005.08/512.26
  6. Step 6: Final answer
    x = 583.70

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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.