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Finding the Fourth Proportional to 434.26, 599.32 and 257.24

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Solution

The fourth proportional to 434.26, 599.32 and 257.24 is: 355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.26 : 599.32 = 257.24 : x
  2. Step 2: Convert to fraction form
    434.26/599.32 = 257.24/x
  3. Step 3: Cross multiply
    434.26x = 599.32 × 257.24
  4. Step 4: Simplify right side
    434.26x = 154,169.08
  5. Step 5: Solve for x
    x = 154,169.08/434.26
  6. Step 6: Final answer
    x = 355.02

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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.