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Finding the Fourth Proportional to 543.14, 749.42 and 322.16

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Solution

The fourth proportional to 543.14, 749.42 and 322.16 is: 444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.14 : 749.42 = 322.16 : x
  2. Step 2: Convert to fraction form
    543.14/749.42 = 322.16/x
  3. Step 3: Cross multiply
    543.14x = 749.42 × 322.16
  4. Step 4: Simplify right side
    543.14x = 241,433.15
  5. Step 5: Solve for x
    x = 241,433.15/543.14
  6. Step 6: Final answer
    x = 444.51

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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.