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Finding the Fourth Proportional to 471.84, 650.92 and 297.12

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Solution

The fourth proportional to 471.84, 650.92 and 297.12 is: 409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.84 : 650.92 = 297.12 : x
  2. Step 2: Convert to fraction form
    471.84/650.92 = 297.12/x
  3. Step 3: Cross multiply
    471.84x = 650.92 × 297.12
  4. Step 4: Simplify right side
    471.84x = 193,401.35
  5. Step 5: Solve for x
    x = 193,401.35/471.84
  6. Step 6: Final answer
    x = 409.89

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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.