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Finding the Fourth Proportional to 471.56, 651.06 and 340.80

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Solution

The fourth proportional to 471.56, 651.06 and 340.80 is: 470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.56 : 651.06 = 340.80 : x
  2. Step 2: Convert to fraction form
    471.56/651.06 = 340.80/x
  3. Step 3: Cross multiply
    471.56x = 651.06 × 340.80
  4. Step 4: Simplify right side
    471.56x = 221,881.25
  5. Step 5: Solve for x
    x = 221,881.25/471.56
  6. Step 6: Final answer
    x = 470.52

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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.