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Finding the Fourth Proportional to 918.76, 1,378.26 and 341.56

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Solution

The fourth proportional to 918.76, 1,378.26 and 341.56 is: 512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.76 : 1,378.26 = 341.56 : x
  2. Step 2: Convert to fraction form
    918.76/1,378.26 = 341.56/x
  3. Step 3: Cross multiply
    918.76x = 1,378.26 × 341.56
  4. Step 4: Simplify right side
    918.76x = 470,758.49
  5. Step 5: Solve for x
    x = 470,758.49/918.76
  6. Step 6: Final answer
    x = 512.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.