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Finding the Fourth Proportional to 650.53, 975.94 and 303.67

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Solution

The fourth proportional to 650.53, 975.94 and 303.67 is: 455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.53 : 975.94 = 303.67 : x
  2. Step 2: Convert to fraction form
    650.53/975.94 = 303.67/x
  3. Step 3: Cross multiply
    650.53x = 975.94 × 303.67
  4. Step 4: Simplify right side
    650.53x = 296,367.00
  5. Step 5: Solve for x
    x = 296,367.00/650.53
  6. Step 6: Final answer
    x = 455.58

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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.