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Finding the Fourth Proportional to 470.66, 649.65 and 304.89

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Solution

The fourth proportional to 470.66, 649.65 and 304.89 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.66 : 649.65 = 304.89 : x
  2. Step 2: Convert to fraction form
    470.66/649.65 = 304.89/x
  3. Step 3: Cross multiply
    470.66x = 649.65 × 304.89
  4. Step 4: Simplify right side
    470.66x = 198,072.32
  5. Step 5: Solve for x
    x = 198,072.32/470.66
  6. Step 6: Final answer
    x = 420.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.