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Finding the Fourth Proportional to 543.05, 749.37 and 322.02

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Solution

The fourth proportional to 543.05, 749.37 and 322.02 is: 444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.05 : 749.37 = 322.02 : x
  2. Step 2: Convert to fraction form
    543.05/749.37 = 322.02/x
  3. Step 3: Cross multiply
    543.05x = 749.37 × 322.02
  4. Step 4: Simplify right side
    543.05x = 241,308.38
  5. Step 5: Solve for x
    x = 241,308.38/543.05
  6. Step 6: Final answer
    x = 444.36

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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.