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Finding the Fourth Proportional to 512.17, 706.52 and 354.95

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Solution

The fourth proportional to 512.17, 706.52 and 354.95 is: 489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.17 : 706.52 = 354.95 : x
  2. Step 2: Convert to fraction form
    512.17/706.52 = 354.95/x
  3. Step 3: Cross multiply
    512.17x = 706.52 × 354.95
  4. Step 4: Simplify right side
    512.17x = 250,777.50
  5. Step 5: Solve for x
    x = 250,777.50/512.17
  6. Step 6: Final answer
    x = 489.64

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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.