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Finding the Fourth Proportional to 346.77, 522.75 and 323.28

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Solution

The fourth proportional to 346.77, 522.75 and 323.28 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.77 : 522.75 = 323.28 : x
  2. Step 2: Convert to fraction form
    346.77/522.75 = 323.28/x
  3. Step 3: Cross multiply
    346.77x = 522.75 × 323.28
  4. Step 4: Simplify right side
    346.77x = 168,994.62
  5. Step 5: Solve for x
    x = 168,994.62/346.77
  6. Step 6: Final answer
    x = 487.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.