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Finding the Fourth Proportional to 377.93, 566.06 and 233.35

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Solution

The fourth proportional to 377.93, 566.06 and 233.35 is: 349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.93 : 566.06 = 233.35 : x
  2. Step 2: Convert to fraction form
    377.93/566.06 = 233.35/x
  3. Step 3: Cross multiply
    377.93x = 566.06 × 233.35
  4. Step 4: Simplify right side
    377.93x = 132,087.52
  5. Step 5: Solve for x
    x = 132,087.52/377.93
  6. Step 6: Final answer
    x = 349.50

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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.