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Finding the Fourth Proportional to 434.01, 599.01 and 286.62

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Solution

The fourth proportional to 434.01, 599.01 and 286.62 is: 395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.01 : 599.01 = 286.62 : x
  2. Step 2: Convert to fraction form
    434.01/599.01 = 286.62/x
  3. Step 3: Cross multiply
    434.01x = 599.01 × 286.62
  4. Step 4: Simplify right side
    434.01x = 171,688.25
  5. Step 5: Solve for x
    x = 171,688.25/434.01
  6. Step 6: Final answer
    x = 395.59

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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.