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Finding the Fourth Proportional to 512.94, 707.98 and 292.01

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Solution

The fourth proportional to 512.94, 707.98 and 292.01 is: 403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 707.98 = 292.01 : x
  2. Step 2: Convert to fraction form
    512.94/707.98 = 292.01/x
  3. Step 3: Cross multiply
    512.94x = 707.98 × 292.01
  4. Step 4: Simplify right side
    512.94x = 206,737.24
  5. Step 5: Solve for x
    x = 206,737.24/512.94
  6. Step 6: Final answer
    x = 403.04

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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.