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Finding the Fourth Proportional to 357.86, 494.16 and 260.12

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Solution

The fourth proportional to 357.86, 494.16 and 260.12 is: 359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.86 : 494.16 = 260.12 : x
  2. Step 2: Convert to fraction form
    357.86/494.16 = 260.12/x
  3. Step 3: Cross multiply
    357.86x = 494.16 × 260.12
  4. Step 4: Simplify right side
    357.86x = 128,540.90
  5. Step 5: Solve for x
    x = 128,540.90/357.86
  6. Step 6: Final answer
    x = 359.19

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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.