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Finding the Fourth Proportional to 471.84, 706.84 and 309.03

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Solution

The fourth proportional to 471.84, 706.84 and 309.03 is: 462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.84 : 706.84 = 309.03 : x
  2. Step 2: Convert to fraction form
    471.84/706.84 = 309.03/x
  3. Step 3: Cross multiply
    471.84x = 706.84 × 309.03
  4. Step 4: Simplify right side
    471.84x = 218,433.22
  5. Step 5: Solve for x
    x = 218,433.22/471.84
  6. Step 6: Final answer
    x = 462.94

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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.