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Finding the Fourth Proportional to 324.42, 487.17 and 289.77

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Solution

The fourth proportional to 324.42, 487.17 and 289.77 is: 435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.42 : 487.17 = 289.77 : x
  2. Step 2: Convert to fraction form
    324.42/487.17 = 289.77/x
  3. Step 3: Cross multiply
    324.42x = 487.17 × 289.77
  4. Step 4: Simplify right side
    324.42x = 141,167.25
  5. Step 5: Solve for x
    x = 141,167.25/324.42
  6. Step 6: Final answer
    x = 435.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.