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Finding the Fourth Proportional to 512.93, 707.82 and 291.93

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Solution

The fourth proportional to 512.93, 707.82 and 291.93 is: 402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.93 : 707.82 = 291.93 : x
  2. Step 2: Convert to fraction form
    512.93/707.82 = 291.93/x
  3. Step 3: Cross multiply
    512.93x = 707.82 × 291.93
  4. Step 4: Simplify right side
    512.93x = 206,633.89
  5. Step 5: Solve for x
    x = 206,633.89/512.93
  6. Step 6: Final answer
    x = 402.85

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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.