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Finding the Fourth Proportional to 393.26, 590.29 and 302.94

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Solution

The fourth proportional to 393.26, 590.29 and 302.94 is: 454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.26 : 590.29 = 302.94 : x
  2. Step 2: Convert to fraction form
    393.26/590.29 = 302.94/x
  3. Step 3: Cross multiply
    393.26x = 590.29 × 302.94
  4. Step 4: Simplify right side
    393.26x = 178,821.70
  5. Step 5: Solve for x
    x = 178,821.70/393.26
  6. Step 6: Final answer
    x = 454.72

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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.