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Finding the Fourth Proportional to 543.02, 749.73 and 418.46

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Solution

The fourth proportional to 543.02, 749.73 and 418.46 is: 577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.02 : 749.73 = 418.46 : x
  2. Step 2: Convert to fraction form
    543.02/749.73 = 418.46/x
  3. Step 3: Cross multiply
    543.02x = 749.73 × 418.46
  4. Step 4: Simplify right side
    543.02x = 313,732.02
  5. Step 5: Solve for x
    x = 313,732.02/543.02
  6. Step 6: Final answer
    x = 577.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.