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Finding the Fourth Proportional to 545.58, 816.23 and 382.16

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Solution

The fourth proportional to 545.58, 816.23 and 382.16 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.58 : 816.23 = 382.16 : x
  2. Step 2: Convert to fraction form
    545.58/816.23 = 382.16/x
  3. Step 3: Cross multiply
    545.58x = 816.23 × 382.16
  4. Step 4: Simplify right side
    545.58x = 311,930.46
  5. Step 5: Solve for x
    x = 311,930.46/545.58
  6. Step 6: Final answer
    x = 571.74

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Why These Related Problems?

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