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Finding the Fourth Proportional to 324.71, 487.37 and 313.77

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Solution

The fourth proportional to 324.71, 487.37 and 313.77 is: 470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.71 : 487.37 = 313.77 : x
  2. Step 2: Convert to fraction form
    324.71/487.37 = 313.77/x
  3. Step 3: Cross multiply
    324.71x = 487.37 × 313.77
  4. Step 4: Simplify right side
    324.71x = 152,922.93
  5. Step 5: Solve for x
    x = 152,922.93/324.71
  6. Step 6: Final answer
    x = 470.95

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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.