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Finding the Fourth Proportional to 471.08, 649.81 and 347.06

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Solution

The fourth proportional to 471.08, 649.81 and 347.06 is: 478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.08 : 649.81 = 347.06 : x
  2. Step 2: Convert to fraction form
    471.08/649.81 = 347.06/x
  3. Step 3: Cross multiply
    471.08x = 649.81 × 347.06
  4. Step 4: Simplify right side
    471.08x = 225,525.12
  5. Step 5: Solve for x
    x = 225,525.12/471.08
  6. Step 6: Final answer
    x = 478.74

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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.