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Finding the Fourth Proportional to 543.21, 814.82 and 446.82

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Solution

The fourth proportional to 543.21, 814.82 and 446.82 is: 670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.21 : 814.82 = 446.82 : x
  2. Step 2: Convert to fraction form
    543.21/814.82 = 446.82/x
  3. Step 3: Cross multiply
    543.21x = 814.82 × 446.82
  4. Step 4: Simplify right side
    543.21x = 364,075.64
  5. Step 5: Solve for x
    x = 364,075.64/543.21
  6. Step 6: Final answer
    x = 670.23

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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.