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Finding the Fourth Proportional to 543.72, 750.38 and 319.65

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Solution

The fourth proportional to 543.72, 750.38 and 319.65 is: 441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.72 : 750.38 = 319.65 : x
  2. Step 2: Convert to fraction form
    543.72/750.38 = 319.65/x
  3. Step 3: Cross multiply
    543.72x = 750.38 × 319.65
  4. Step 4: Simplify right side
    543.72x = 239,857.37
  5. Step 5: Solve for x
    x = 239,857.37/543.72
  6. Step 6: Final answer
    x = 441.14

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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.