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Finding the Fourth Proportional to 470.90, 649.86 and 305.06

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Solution

The fourth proportional to 470.90, 649.86 and 305.06 is: 420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.90 : 649.86 = 305.06 : x
  2. Step 2: Convert to fraction form
    470.90/649.86 = 305.06/x
  3. Step 3: Cross multiply
    470.90x = 649.86 × 305.06
  4. Step 4: Simplify right side
    470.90x = 198,246.29
  5. Step 5: Solve for x
    x = 198,246.29/470.90
  6. Step 6: Final answer
    x = 420.99

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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.