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Finding the Fourth Proportional to 324.46, 484.38 and 313.07

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Solution

The fourth proportional to 324.46, 484.38 and 313.07 is: 467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.46 : 484.38 = 313.07 : x
  2. Step 2: Convert to fraction form
    324.46/484.38 = 313.07/x
  3. Step 3: Cross multiply
    324.46x = 484.38 × 313.07
  4. Step 4: Simplify right side
    324.46x = 151,647.23
  5. Step 5: Solve for x
    x = 151,647.23/324.46
  6. Step 6: Final answer
    x = 467.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.