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Finding the Fourth Proportional to 470.53, 649.15 and 304.84

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Solution

The fourth proportional to 470.53, 649.15 and 304.84 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.53 : 649.15 = 304.84 : x
  2. Step 2: Convert to fraction form
    470.53/649.15 = 304.84/x
  3. Step 3: Cross multiply
    470.53x = 649.15 × 304.84
  4. Step 4: Simplify right side
    470.53x = 197,886.89
  5. Step 5: Solve for x
    x = 197,886.89/470.53
  6. Step 6: Final answer
    x = 420.56

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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.