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Finding the Fourth Proportional to 341.96, 514.79 and 312.20

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Solution

The fourth proportional to 341.96, 514.79 and 312.20 is: 469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.96 : 514.79 = 312.20 : x
  2. Step 2: Convert to fraction form
    341.96/514.79 = 312.20/x
  3. Step 3: Cross multiply
    341.96x = 514.79 × 312.20
  4. Step 4: Simplify right side
    341.96x = 160,717.44
  5. Step 5: Solve for x
    x = 160,717.44/341.96
  6. Step 6: Final answer
    x = 469.99

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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.