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Finding the Fourth Proportional to 434.44, 599.25 and 301.45

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Solution

The fourth proportional to 434.44, 599.25 and 301.45 is: 415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.44 : 599.25 = 301.45 : x
  2. Step 2: Convert to fraction form
    434.44/599.25 = 301.45/x
  3. Step 3: Cross multiply
    434.44x = 599.25 × 301.45
  4. Step 4: Simplify right side
    434.44x = 180,641.29
  5. Step 5: Solve for x
    x = 180,641.29/434.44
  6. Step 6: Final answer
    x = 415.80

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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.