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Finding the Fourth Proportional to 493.07, 740.24 and 311.23

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Solution

The fourth proportional to 493.07, 740.24 and 311.23 is: 467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.07 : 740.24 = 311.23 : x
  2. Step 2: Convert to fraction form
    493.07/740.24 = 311.23/x
  3. Step 3: Cross multiply
    493.07x = 740.24 × 311.23
  4. Step 4: Simplify right side
    493.07x = 230,379.64
  5. Step 5: Solve for x
    x = 230,379.64/493.07
  6. Step 6: Final answer
    x = 467.24

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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.