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Finding the Fourth Proportional to 470.26, 704.30 and 296.42

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Solution

The fourth proportional to 470.26, 704.30 and 296.42 is: 443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.26 : 704.30 = 296.42 : x
  2. Step 2: Convert to fraction form
    470.26/704.30 = 296.42/x
  3. Step 3: Cross multiply
    470.26x = 704.30 × 296.42
  4. Step 4: Simplify right side
    470.26x = 208,763.60
  5. Step 5: Solve for x
    x = 208,763.60/470.26
  6. Step 6: Final answer
    x = 443.93

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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.