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Finding the Fourth Proportional to 480.32, 661.92 and 342.08

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Solution

The fourth proportional to 480.32, 661.92 and 342.08 is: 471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.32 : 661.92 = 342.08 : x
  2. Step 2: Convert to fraction form
    480.32/661.92 = 342.08/x
  3. Step 3: Cross multiply
    480.32x = 661.92 × 342.08
  4. Step 4: Simplify right side
    480.32x = 226,429.59
  5. Step 5: Solve for x
    x = 226,429.59/480.32
  6. Step 6: Final answer
    x = 471.41

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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.