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Finding the Fourth Proportional to 470.73, 649.94 and 360.02

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Solution

The fourth proportional to 470.73, 649.94 and 360.02 is: 497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.73 : 649.94 = 360.02 : x
  2. Step 2: Convert to fraction form
    470.73/649.94 = 360.02/x
  3. Step 3: Cross multiply
    470.73x = 649.94 × 360.02
  4. Step 4: Simplify right side
    470.73x = 233,986.35
  5. Step 5: Solve for x
    x = 233,986.35/470.73
  6. Step 6: Final answer
    x = 497.07

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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.