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Finding the Fourth Proportional to 434.26, 599.16 and 301.69

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Solution

The fourth proportional to 434.26, 599.16 and 301.69 is: 416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.26 : 599.16 = 301.69 : x
  2. Step 2: Convert to fraction form
    434.26/599.16 = 301.69/x
  3. Step 3: Cross multiply
    434.26x = 599.16 × 301.69
  4. Step 4: Simplify right side
    434.26x = 180,760.58
  5. Step 5: Solve for x
    x = 180,760.58/434.26
  6. Step 6: Final answer
    x = 416.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.