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Finding the Fourth Proportional to 543.30, 816.04 and 445.98

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Solution

The fourth proportional to 543.30, 816.04 and 445.98 is: 669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.30 : 816.04 = 445.98 : x
  2. Step 2: Convert to fraction form
    543.30/816.04 = 445.98/x
  3. Step 3: Cross multiply
    543.30x = 816.04 × 445.98
  4. Step 4: Simplify right side
    543.30x = 363,937.52
  5. Step 5: Solve for x
    x = 363,937.52/543.30
  6. Step 6: Final answer
    x = 669.86

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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.