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Finding the Fourth Proportional to 545.90, 817.44 and 302.14

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Solution

The fourth proportional to 545.90, 817.44 and 302.14 is: 452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.90 : 817.44 = 302.14 : x
  2. Step 2: Convert to fraction form
    545.90/817.44 = 302.14/x
  3. Step 3: Cross multiply
    545.90x = 817.44 × 302.14
  4. Step 4: Simplify right side
    545.90x = 246,981.32
  5. Step 5: Solve for x
    x = 246,981.32/545.90
  6. Step 6: Final answer
    x = 452.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.