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Finding the Fourth Proportional to 543.90, 815.82 and 297.18

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Solution

The fourth proportional to 543.90, 815.82 and 297.18 is: 445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.90 : 815.82 = 297.18 : x
  2. Step 2: Convert to fraction form
    543.90/815.82 = 297.18/x
  3. Step 3: Cross multiply
    543.90x = 815.82 × 297.18
  4. Step 4: Simplify right side
    543.90x = 242,445.39
  5. Step 5: Solve for x
    x = 242,445.39/543.90
  6. Step 6: Final answer
    x = 445.75

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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.