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Finding the Fourth Proportional to 470.01, 649.48 and 360.25

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Solution

The fourth proportional to 470.01, 649.48 and 360.25 is: 497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.01 : 649.48 = 360.25 : x
  2. Step 2: Convert to fraction form
    470.01/649.48 = 360.25/x
  3. Step 3: Cross multiply
    470.01x = 649.48 × 360.25
  4. Step 4: Simplify right side
    470.01x = 233,975.17
  5. Step 5: Solve for x
    x = 233,975.17/470.01
  6. Step 6: Final answer
    x = 497.81

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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.