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Finding the Fourth Proportional to 357.10, 492.69 and 232.94

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Solution

The fourth proportional to 357.10, 492.69 and 232.94 is: 321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.10 : 492.69 = 232.94 : x
  2. Step 2: Convert to fraction form
    357.10/492.69 = 232.94/x
  3. Step 3: Cross multiply
    357.10x = 492.69 × 232.94
  4. Step 4: Simplify right side
    357.10x = 114,763.58
  5. Step 5: Solve for x
    x = 114,763.58/357.10
  6. Step 6: Final answer
    x = 321.38

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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.