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Finding the Fourth Proportional to 346.08, 478.14 and 325.53

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Solution

The fourth proportional to 346.08, 478.14 and 325.53 is: 449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.08 : 478.14 = 325.53 : x
  2. Step 2: Convert to fraction form
    346.08/478.14 = 325.53/x
  3. Step 3: Cross multiply
    346.08x = 478.14 × 325.53
  4. Step 4: Simplify right side
    346.08x = 155,648.91
  5. Step 5: Solve for x
    x = 155,648.91/346.08
  6. Step 6: Final answer
    x = 449.75

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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.