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Finding the Fourth Proportional to 467.30, 700.82 and 305.84

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Solution

The fourth proportional to 467.30, 700.82 and 305.84 is: 458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.30 : 700.82 = 305.84 : x
  2. Step 2: Convert to fraction form
    467.30/700.82 = 305.84/x
  3. Step 3: Cross multiply
    467.30x = 700.82 × 305.84
  4. Step 4: Simplify right side
    467.30x = 214,338.79
  5. Step 5: Solve for x
    x = 214,338.79/467.30
  6. Step 6: Final answer
    x = 458.67

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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.