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Finding the Fourth Proportional to 468.94, 703.15 and 237.27

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Solution

The fourth proportional to 468.94, 703.15 and 237.27 is: 355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.94 : 703.15 = 237.27 : x
  2. Step 2: Convert to fraction form
    468.94/703.15 = 237.27/x
  3. Step 3: Cross multiply
    468.94x = 703.15 × 237.27
  4. Step 4: Simplify right side
    468.94x = 166,836.40
  5. Step 5: Solve for x
    x = 166,836.40/468.94
  6. Step 6: Final answer
    x = 355.77

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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.