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Finding the Fourth Proportional to 346.89, 520.05 and 173.35

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Solution

The fourth proportional to 346.89, 520.05 and 173.35 is: 259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.89 : 520.05 = 173.35 : x
  2. Step 2: Convert to fraction form
    346.89/520.05 = 173.35/x
  3. Step 3: Cross multiply
    346.89x = 520.05 × 173.35
  4. Step 4: Simplify right side
    346.89x = 90,149.37
  5. Step 5: Solve for x
    x = 90,149.37/346.89
  6. Step 6: Final answer
    x = 259.88

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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.