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Finding the Fourth Proportional to 470.37, 649.10 and 304.60

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Solution

The fourth proportional to 470.37, 649.10 and 304.60 is: 420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.37 : 649.10 = 304.60 : x
  2. Step 2: Convert to fraction form
    470.37/649.10 = 304.60/x
  3. Step 3: Cross multiply
    470.37x = 649.10 × 304.60
  4. Step 4: Simplify right side
    470.37x = 197,715.86
  5. Step 5: Solve for x
    x = 197,715.86/470.37
  6. Step 6: Final answer
    x = 420.35

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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.