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Finding the Fourth Proportional to 346.08, 520.32 and 323.52

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Solution

The fourth proportional to 346.08, 520.32 and 323.52 is: 486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.08 : 520.32 = 323.52 : x
  2. Step 2: Convert to fraction form
    346.08/520.32 = 323.52/x
  3. Step 3: Cross multiply
    346.08x = 520.32 × 323.52
  4. Step 4: Simplify right side
    346.08x = 168,333.93
  5. Step 5: Solve for x
    x = 168,333.93/346.08
  6. Step 6: Final answer
    x = 486.40

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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.