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Finding the Fourth Proportional to 293.72, 439.23 and 289.40

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Solution

The fourth proportional to 293.72, 439.23 and 289.40 is: 432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.72 : 439.23 = 289.40 : x
  2. Step 2: Convert to fraction form
    293.72/439.23 = 289.40/x
  3. Step 3: Cross multiply
    293.72x = 439.23 × 289.40
  4. Step 4: Simplify right side
    293.72x = 127,113.16
  5. Step 5: Solve for x
    x = 127,113.16/293.72
  6. Step 6: Final answer
    x = 432.77

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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.