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Finding the Fourth Proportional to 434.46, 599.61 and 257.46

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Solution

The fourth proportional to 434.46, 599.61 and 257.46 is: 355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.46 : 599.61 = 257.46 : x
  2. Step 2: Convert to fraction form
    434.46/599.61 = 257.46/x
  3. Step 3: Cross multiply
    434.46x = 599.61 × 257.46
  4. Step 4: Simplify right side
    434.46x = 154,375.59
  5. Step 5: Solve for x
    x = 154,375.59/434.46
  6. Step 6: Final answer
    x = 355.33

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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.