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Finding the Fourth Proportional to 345.84, 478.08 and 325.44

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Solution

The fourth proportional to 345.84, 478.08 and 325.44 is: 449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.84 : 478.08 = 325.44 : x
  2. Step 2: Convert to fraction form
    345.84/478.08 = 325.44/x
  3. Step 3: Cross multiply
    345.84x = 478.08 × 325.44
  4. Step 4: Simplify right side
    345.84x = 155,586.36
  5. Step 5: Solve for x
    x = 155,586.36/345.84
  6. Step 6: Final answer
    x = 449.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.