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Finding the Fourth Proportional to 525.97, 721.57 and 492.85

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Solution

The fourth proportional to 525.97, 721.57 and 492.85 is: 676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.97 : 721.57 = 492.85 : x
  2. Step 2: Convert to fraction form
    525.97/721.57 = 492.85/x
  3. Step 3: Cross multiply
    525.97x = 721.57 × 492.85
  4. Step 4: Simplify right side
    525.97x = 355,625.77
  5. Step 5: Solve for x
    x = 355,625.77/525.97
  6. Step 6: Final answer
    x = 676.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.