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Finding the Fourth Proportional to 471.36, 649.14 and 340.16

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Solution

The fourth proportional to 471.36, 649.14 and 340.16 is: 468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.36 : 649.14 = 340.16 : x
  2. Step 2: Convert to fraction form
    471.36/649.14 = 340.16/x
  3. Step 3: Cross multiply
    471.36x = 649.14 × 340.16
  4. Step 4: Simplify right side
    471.36x = 220,811.81
  5. Step 5: Solve for x
    x = 220,811.81/471.36
  6. Step 6: Final answer
    x = 468.45

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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.