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Finding the Fourth Proportional to 277.95, 416.00 and 232.41

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Solution

The fourth proportional to 277.95, 416.00 and 232.41 is: 347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.95 : 416.00 = 232.41 : x
  2. Step 2: Convert to fraction form
    277.95/416.00 = 232.41/x
  3. Step 3: Cross multiply
    277.95x = 416.00 × 232.41
  4. Step 4: Simplify right side
    277.95x = 96,681.40
  5. Step 5: Solve for x
    x = 96,681.40/277.95
  6. Step 6: Final answer
    x = 347.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.