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Finding the Fourth Proportional to 434.27, 599.37 and 259.63

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Solution

The fourth proportional to 434.27, 599.37 and 259.63 is: 358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.27 : 599.37 = 259.63 : x
  2. Step 2: Convert to fraction form
    434.27/599.37 = 259.63/x
  3. Step 3: Cross multiply
    434.27x = 599.37 × 259.63
  4. Step 4: Simplify right side
    434.27x = 155,614.43
  5. Step 5: Solve for x
    x = 155,614.43/434.27
  6. Step 6: Final answer
    x = 358.34

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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.