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Finding the Fourth Proportional to 545.16, 817.88 and 397.64

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Solution

The fourth proportional to 545.16, 817.88 and 397.64 is: 596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.16 : 817.88 = 397.64 : x
  2. Step 2: Convert to fraction form
    545.16/817.88 = 397.64/x
  3. Step 3: Cross multiply
    545.16x = 817.88 × 397.64
  4. Step 4: Simplify right side
    545.16x = 325,221.80
  5. Step 5: Solve for x
    x = 325,221.80/545.16
  6. Step 6: Final answer
    x = 596.56

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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.