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Finding the Fourth Proportional to 434.36, 599.64 and 375.38

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Solution

The fourth proportional to 434.36, 599.64 and 375.38 is: 518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.36 : 599.64 = 375.38 : x
  2. Step 2: Convert to fraction form
    434.36/599.64 = 375.38/x
  3. Step 3: Cross multiply
    434.36x = 599.64 × 375.38
  4. Step 4: Simplify right side
    434.36x = 225,092.86
  5. Step 5: Solve for x
    x = 225,092.86/434.36
  6. Step 6: Final answer
    x = 518.22

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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.