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Finding the Fourth Proportional to 543.16, 749.76 and 322.12

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Solution

The fourth proportional to 543.16, 749.76 and 322.12 is: 444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.16 : 749.76 = 322.12 : x
  2. Step 2: Convert to fraction form
    543.16/749.76 = 322.12/x
  3. Step 3: Cross multiply
    543.16x = 749.76 × 322.12
  4. Step 4: Simplify right side
    543.16x = 241,507.33
  5. Step 5: Solve for x
    x = 241,507.33/543.16
  6. Step 6: Final answer
    x = 444.63

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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.