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Finding the Fourth Proportional to 545.94, 817.62 and 285.24

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Solution

The fourth proportional to 545.94, 817.62 and 285.24 is: 427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.94 : 817.62 = 285.24 : x
  2. Step 2: Convert to fraction form
    545.94/817.62 = 285.24/x
  3. Step 3: Cross multiply
    545.94x = 817.62 × 285.24
  4. Step 4: Simplify right side
    545.94x = 233,217.93
  5. Step 5: Solve for x
    x = 233,217.93/545.94
  6. Step 6: Final answer
    x = 427.19

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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.