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Finding the Fourth Proportional to 369.68, 556.74 and 312.26

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Solution

The fourth proportional to 369.68, 556.74 and 312.26 is: 470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.68 : 556.74 = 312.26 : x
  2. Step 2: Convert to fraction form
    369.68/556.74 = 312.26/x
  3. Step 3: Cross multiply
    369.68x = 556.74 × 312.26
  4. Step 4: Simplify right side
    369.68x = 173,847.63
  5. Step 5: Solve for x
    x = 173,847.63/369.68
  6. Step 6: Final answer
    x = 470.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.