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Finding the Fourth Proportional to 545.08, 816.48 and 328.54

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Solution

The fourth proportional to 545.08, 816.48 and 328.54 is: 492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.08 : 816.48 = 328.54 : x
  2. Step 2: Convert to fraction form
    545.08/816.48 = 328.54/x
  3. Step 3: Cross multiply
    545.08x = 816.48 × 328.54
  4. Step 4: Simplify right side
    545.08x = 268,246.34
  5. Step 5: Solve for x
    x = 268,246.34/545.08
  6. Step 6: Final answer
    x = 492.12

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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.