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Finding the Fourth Proportional to 358.88, 495.34 and 259.24

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Solution

The fourth proportional to 358.88, 495.34 and 259.24 is: 357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.88 : 495.34 = 259.24 : x
  2. Step 2: Convert to fraction form
    358.88/495.34 = 259.24/x
  3. Step 3: Cross multiply
    358.88x = 495.34 × 259.24
  4. Step 4: Simplify right side
    358.88x = 128,411.94
  5. Step 5: Solve for x
    x = 128,411.94/358.88
  6. Step 6: Final answer
    x = 357.81

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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.