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Finding the Fourth Proportional to 346.59, 478.35 and 331.02

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Solution

The fourth proportional to 346.59, 478.35 and 331.02 is: 456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.59 : 478.35 = 331.02 : x
  2. Step 2: Convert to fraction form
    346.59/478.35 = 331.02/x
  3. Step 3: Cross multiply
    346.59x = 478.35 × 331.02
  4. Step 4: Simplify right side
    346.59x = 158,344.66
  5. Step 5: Solve for x
    x = 158,344.66/346.59
  6. Step 6: Final answer
    x = 456.86

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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.