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Finding the Fourth Proportional to 434.38, 599.52 and 259.78

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Solution

The fourth proportional to 434.38, 599.52 and 259.78 is: 358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.38 : 599.52 = 259.78 : x
  2. Step 2: Convert to fraction form
    434.38/599.52 = 259.78/x
  3. Step 3: Cross multiply
    434.38x = 599.52 × 259.78
  4. Step 4: Simplify right side
    434.38x = 155,743.31
  5. Step 5: Solve for x
    x = 155,743.31/434.38
  6. Step 6: Final answer
    x = 358.54

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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.