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Finding the Fourth Proportional to 358.89, 494.71 and 260.74

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Solution

The fourth proportional to 358.89, 494.71 and 260.74 is: 359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.89 : 494.71 = 260.74 : x
  2. Step 2: Convert to fraction form
    358.89/494.71 = 260.74/x
  3. Step 3: Cross multiply
    358.89x = 494.71 × 260.74
  4. Step 4: Simplify right side
    358.89x = 128,990.69
  5. Step 5: Solve for x
    x = 128,990.69/358.89
  6. Step 6: Final answer
    x = 359.42

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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.