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Finding the Fourth Proportional to 545.96, 817.62 and 314.14

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Solution

The fourth proportional to 545.96, 817.62 and 314.14 is: 470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.96 : 817.62 = 314.14 : x
  2. Step 2: Convert to fraction form
    545.96/817.62 = 314.14/x
  3. Step 3: Cross multiply
    545.96x = 817.62 × 314.14
  4. Step 4: Simplify right side
    545.96x = 256,847.15
  5. Step 5: Solve for x
    x = 256,847.15/545.96
  6. Step 6: Final answer
    x = 470.45

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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.