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Finding the Fourth Proportional to 545.04, 817.76 and 301.23

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Solution

The fourth proportional to 545.04, 817.76 and 301.23 is: 451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.04 : 817.76 = 301.23 : x
  2. Step 2: Convert to fraction form
    545.04/817.76 = 301.23/x
  3. Step 3: Cross multiply
    545.04x = 817.76 × 301.23
  4. Step 4: Simplify right side
    545.04x = 246,334.60
  5. Step 5: Solve for x
    x = 246,334.60/545.04
  6. Step 6: Final answer
    x = 451.96

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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.