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Finding the Fourth Proportional to 543.68, 816.06 and 300.32

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Solution

The fourth proportional to 543.68, 816.06 and 300.32 is: 450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.68 : 816.06 = 300.32 : x
  2. Step 2: Convert to fraction form
    543.68/816.06 = 300.32/x
  3. Step 3: Cross multiply
    543.68x = 816.06 × 300.32
  4. Step 4: Simplify right side
    543.68x = 245,079.14
  5. Step 5: Solve for x
    x = 245,079.14/543.68
  6. Step 6: Final answer
    x = 450.78

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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.