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Finding the Fourth Proportional to 434.10, 599.08 and 286.63

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Solution

The fourth proportional to 434.10, 599.08 and 286.63 is: 395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.10 : 599.08 = 286.63 : x
  2. Step 2: Convert to fraction form
    434.10/599.08 = 286.63/x
  3. Step 3: Cross multiply
    434.10x = 599.08 × 286.63
  4. Step 4: Simplify right side
    434.10x = 171,709.87
  5. Step 5: Solve for x
    x = 171,709.87/434.10
  6. Step 6: Final answer
    x = 395.56

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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.