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Finding the Fourth Proportional to 259.46, 355.52 and 257.07

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Solution

The fourth proportional to 259.46, 355.52 and 257.07 is: 352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.46 : 355.52 = 257.07 : x
  2. Step 2: Convert to fraction form
    259.46/355.52 = 257.07/x
  3. Step 3: Cross multiply
    259.46x = 355.52 × 257.07
  4. Step 4: Simplify right side
    259.46x = 91,392.24
  5. Step 5: Solve for x
    x = 91,392.24/259.46
  6. Step 6: Final answer
    x = 352.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.