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Finding the Fourth Proportional to 273.02, 407.60 and 232.02

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Solution

The fourth proportional to 273.02, 407.60 and 232.02 is: 346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.02 : 407.60 = 232.02 : x
  2. Step 2: Convert to fraction form
    273.02/407.60 = 232.02/x
  3. Step 3: Cross multiply
    273.02x = 407.60 × 232.02
  4. Step 4: Simplify right side
    273.02x = 94,570.19
  5. Step 5: Solve for x
    x = 94,570.19/273.02
  6. Step 6: Final answer
    x = 346.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.