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Finding the Fourth Proportional to 545.27, 821.57 and 486.32

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Solution

The fourth proportional to 545.27, 821.57 and 486.32 is: 732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.27 : 821.57 = 486.32 : x
  2. Step 2: Convert to fraction form
    545.27/821.57 = 486.32/x
  3. Step 3: Cross multiply
    545.27x = 821.57 × 486.32
  4. Step 4: Simplify right side
    545.27x = 399,539.38
  5. Step 5: Solve for x
    x = 399,539.38/545.27
  6. Step 6: Final answer
    x = 732.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.