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Finding the Fourth Proportional to 324.37, 487.02 and 265.98

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Solution

The fourth proportional to 324.37, 487.02 and 265.98 is: 399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.37 : 487.02 = 265.98 : x
  2. Step 2: Convert to fraction form
    324.37/487.02 = 265.98/x
  3. Step 3: Cross multiply
    324.37x = 487.02 × 265.98
  4. Step 4: Simplify right side
    324.37x = 129,537.58
  5. Step 5: Solve for x
    x = 129,537.58/324.37
  6. Step 6: Final answer
    x = 399.35

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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.