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Finding the Fourth Proportional to 471.36, 651.06 and 340.14

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Solution

The fourth proportional to 471.36, 651.06 and 340.14 is: 469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.36 : 651.06 = 340.14 : x
  2. Step 2: Convert to fraction form
    471.36/651.06 = 340.14/x
  3. Step 3: Cross multiply
    471.36x = 651.06 × 340.14
  4. Step 4: Simplify right side
    471.36x = 221,451.55
  5. Step 5: Solve for x
    x = 221,451.55/471.36
  6. Step 6: Final answer
    x = 469.81

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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.