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Finding the Fourth Proportional to 512.98, 707.94 and 291.98

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Solution

The fourth proportional to 512.98, 707.94 and 291.98 is: 402.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.98 : 707.94 = 291.98 : x
  2. Step 2: Convert to fraction form
    512.98/707.94 = 291.98/x
  3. Step 3: Cross multiply
    512.98x = 707.94 × 291.98
  4. Step 4: Simplify right side
    512.98x = 206,704.10
  5. Step 5: Solve for x
    x = 206,704.10/512.98
  6. Step 6: Final answer
    x = 402.95

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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.