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Finding the Fourth Proportional to 341.94, 512.76 and 98.41

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Solution

The fourth proportional to 341.94, 512.76 and 98.41 is: 147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.94 : 512.76 = 98.41 : x
  2. Step 2: Convert to fraction form
    341.94/512.76 = 98.41/x
  3. Step 3: Cross multiply
    341.94x = 512.76 × 98.41
  4. Step 4: Simplify right side
    341.94x = 50,460.71
  5. Step 5: Solve for x
    x = 50,460.71/341.94
  6. Step 6: Final answer
    x = 147.57

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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.