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Finding the Fourth Proportional to 434.35, 599.39 and 259.69

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Solution

The fourth proportional to 434.35, 599.39 and 259.69 is: 358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.35 : 599.39 = 259.69 : x
  2. Step 2: Convert to fraction form
    434.35/599.39 = 259.69/x
  3. Step 3: Cross multiply
    434.35x = 599.39 × 259.69
  4. Step 4: Simplify right side
    434.35x = 155,655.59
  5. Step 5: Solve for x
    x = 155,655.59/434.35
  6. Step 6: Final answer
    x = 358.36

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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.