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Finding the Fourth Proportional to 293.32, 439.44 and 242.08

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Solution

The fourth proportional to 293.32, 439.44 and 242.08 is: 362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.32 : 439.44 = 242.08 : x
  2. Step 2: Convert to fraction form
    293.32/439.44 = 242.08/x
  3. Step 3: Cross multiply
    293.32x = 439.44 × 242.08
  4. Step 4: Simplify right side
    293.32x = 106,379.64
  5. Step 5: Solve for x
    x = 106,379.64/293.32
  6. Step 6: Final answer
    x = 362.67

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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.