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Finding the Fourth Proportional to 357.07, 492.49 and 232.84

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Solution

The fourth proportional to 357.07, 492.49 and 232.84 is: 321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.07 : 492.49 = 232.84 : x
  2. Step 2: Convert to fraction form
    357.07/492.49 = 232.84/x
  3. Step 3: Cross multiply
    357.07x = 492.49 × 232.84
  4. Step 4: Simplify right side
    357.07x = 114,671.37
  5. Step 5: Solve for x
    x = 114,671.37/357.07
  6. Step 6: Final answer
    x = 321.15

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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.