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Finding the Fourth Proportional to 346.47, 477.54 and 333.24

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Solution

The fourth proportional to 346.47, 477.54 and 333.24 is: 459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.47 : 477.54 = 333.24 : x
  2. Step 2: Convert to fraction form
    346.47/477.54 = 333.24/x
  3. Step 3: Cross multiply
    346.47x = 477.54 × 333.24
  4. Step 4: Simplify right side
    346.47x = 159,135.43
  5. Step 5: Solve for x
    x = 159,135.43/346.47
  6. Step 6: Final answer
    x = 459.31

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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.