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Finding the Fourth Proportional to 523.96, 722.45 and 492.17

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Solution

The fourth proportional to 523.96, 722.45 and 492.17 is: 678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.96 : 722.45 = 492.17 : x
  2. Step 2: Convert to fraction form
    523.96/722.45 = 492.17/x
  3. Step 3: Cross multiply
    523.96x = 722.45 × 492.17
  4. Step 4: Simplify right side
    523.96x = 355,565.83
  5. Step 5: Solve for x
    x = 355,565.83/523.96
  6. Step 6: Final answer
    x = 678.62

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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.