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Finding the Fourth Proportional to 343.48, 514.02 and 312.36

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Solution

The fourth proportional to 343.48, 514.02 and 312.36 is: 467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.48 : 514.02 = 312.36 : x
  2. Step 2: Convert to fraction form
    343.48/514.02 = 312.36/x
  3. Step 3: Cross multiply
    343.48x = 514.02 × 312.36
  4. Step 4: Simplify right side
    343.48x = 160,559.29
  5. Step 5: Solve for x
    x = 160,559.29/343.48
  6. Step 6: Final answer
    x = 467.45

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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.