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Finding the Fourth Proportional to 471.06, 649.76 and 305.08

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Solution

The fourth proportional to 471.06, 649.76 and 305.08 is: 420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 649.76 = 305.08 : x
  2. Step 2: Convert to fraction form
    471.06/649.76 = 305.08/x
  3. Step 3: Cross multiply
    471.06x = 649.76 × 305.08
  4. Step 4: Simplify right side
    471.06x = 198,225.63
  5. Step 5: Solve for x
    x = 198,225.63/471.06
  6. Step 6: Final answer
    x = 420.81

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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.