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Finding the Fourth Proportional to 470.60, 649.67 and 365.45

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Solution

The fourth proportional to 470.60, 649.67 and 365.45 is: 504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.60 : 649.67 = 365.45 : x
  2. Step 2: Convert to fraction form
    470.60/649.67 = 365.45/x
  3. Step 3: Cross multiply
    470.60x = 649.67 × 365.45
  4. Step 4: Simplify right side
    470.60x = 237,424.17
  5. Step 5: Solve for x
    x = 237,424.17/470.60
  6. Step 6: Final answer
    x = 504.51

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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.