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Finding the Fourth Proportional to 545.28, 816.08 and 454.16

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Solution

The fourth proportional to 545.28, 816.08 and 454.16 is: 679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.28 : 816.08 = 454.16 : x
  2. Step 2: Convert to fraction form
    545.28/816.08 = 454.16/x
  3. Step 3: Cross multiply
    545.28x = 816.08 × 454.16
  4. Step 4: Simplify right side
    545.28x = 370,630.89
  5. Step 5: Solve for x
    x = 370,630.89/545.28
  6. Step 6: Final answer
    x = 679.71

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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.