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Finding the Fourth Proportional to 324.60, 486.98 and 93.50

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Solution

The fourth proportional to 324.60, 486.98 and 93.50 is: 140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.60 : 486.98 = 93.50 : x
  2. Step 2: Convert to fraction form
    324.60/486.98 = 93.50/x
  3. Step 3: Cross multiply
    324.60x = 486.98 × 93.50
  4. Step 4: Simplify right side
    324.60x = 45,532.63
  5. Step 5: Solve for x
    x = 45,532.63/324.60
  6. Step 6: Final answer
    x = 140.27

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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.