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Finding the Fourth Proportional to 313.76, 472.77 and 260.84

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Solution

The fourth proportional to 313.76, 472.77 and 260.84 is: 393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.76 : 472.77 = 260.84 : x
  2. Step 2: Convert to fraction form
    313.76/472.77 = 260.84/x
  3. Step 3: Cross multiply
    313.76x = 472.77 × 260.84
  4. Step 4: Simplify right side
    313.76x = 123,317.33
  5. Step 5: Solve for x
    x = 123,317.33/313.76
  6. Step 6: Final answer
    x = 393.03

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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.