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Finding the Fourth Proportional to 684.21, 1,025.34 and 293.67

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Solution

The fourth proportional to 684.21, 1,025.34 and 293.67 is: 440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.21 : 1,025.34 = 293.67 : x
  2. Step 2: Convert to fraction form
    684.21/1,025.34 = 293.67/x
  3. Step 3: Cross multiply
    684.21x = 1,025.34 × 293.67
  4. Step 4: Simplify right side
    684.21x = 301,111.60
  5. Step 5: Solve for x
    x = 301,111.60/684.21
  6. Step 6: Final answer
    x = 440.09

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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.