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Finding the Fourth Proportional to 512.36, 706.38 and 354.68

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Solution

The fourth proportional to 512.36, 706.38 and 354.68 is: 488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.36 : 706.38 = 354.68 : x
  2. Step 2: Convert to fraction form
    512.36/706.38 = 354.68/x
  3. Step 3: Cross multiply
    512.36x = 706.38 × 354.68
  4. Step 4: Simplify right side
    512.36x = 250,538.86
  5. Step 5: Solve for x
    x = 250,538.86/512.36
  6. Step 6: Final answer
    x = 488.99

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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.