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Finding the Fourth Proportional to 471.06, 650.16 and 296.82

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Solution

The fourth proportional to 471.06, 650.16 and 296.82 is: 409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 650.16 = 296.82 : x
  2. Step 2: Convert to fraction form
    471.06/650.16 = 296.82/x
  3. Step 3: Cross multiply
    471.06x = 650.16 × 296.82
  4. Step 4: Simplify right side
    471.06x = 192,980.49
  5. Step 5: Solve for x
    x = 192,980.49/471.06
  6. Step 6: Final answer
    x = 409.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.