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Finding the Fourth Proportional to 434.14, 599.06 and 286.50

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Solution

The fourth proportional to 434.14, 599.06 and 286.50 is: 395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.14 : 599.06 = 286.50 : x
  2. Step 2: Convert to fraction form
    434.14/599.06 = 286.50/x
  3. Step 3: Cross multiply
    434.14x = 599.06 × 286.50
  4. Step 4: Simplify right side
    434.14x = 171,630.69
  5. Step 5: Solve for x
    x = 171,630.69/434.14
  6. Step 6: Final answer
    x = 395.33

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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.