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Finding the Fourth Proportional to 543.51, 814.73 and 311.93

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Solution

The fourth proportional to 543.51, 814.73 and 311.93 is: 467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.51 : 814.73 = 311.93 : x
  2. Step 2: Convert to fraction form
    543.51/814.73 = 311.93/x
  3. Step 3: Cross multiply
    543.51x = 814.73 × 311.93
  4. Step 4: Simplify right side
    543.51x = 254,133.10
  5. Step 5: Solve for x
    x = 254,133.10/543.51
  6. Step 6: Final answer
    x = 467.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.