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Finding the Fourth Proportional to 601.90, 903.03 and 255.06

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Solution

The fourth proportional to 601.90, 903.03 and 255.06 is: 382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.90 : 903.03 = 255.06 : x
  2. Step 2: Convert to fraction form
    601.90/903.03 = 255.06/x
  3. Step 3: Cross multiply
    601.90x = 903.03 × 255.06
  4. Step 4: Simplify right side
    601.90x = 230,326.83
  5. Step 5: Solve for x
    x = 230,326.83/601.90
  6. Step 6: Final answer
    x = 382.67

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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.