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Finding the Fourth Proportional to 492.70, 739.92 and 468.07

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Solution

The fourth proportional to 492.70, 739.92 and 468.07 is: 702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.70 : 739.92 = 468.07 : x
  2. Step 2: Convert to fraction form
    492.70/739.92 = 468.07/x
  3. Step 3: Cross multiply
    492.70x = 739.92 × 468.07
  4. Step 4: Simplify right side
    492.70x = 346,334.35
  5. Step 5: Solve for x
    x = 346,334.35/492.70
  6. Step 6: Final answer
    x = 702.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.