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Finding the Fourth Proportional to 380.92, 526.16 and 344.06

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Solution

The fourth proportional to 380.92, 526.16 and 344.06 is: 475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.92 : 526.16 = 344.06 : x
  2. Step 2: Convert to fraction form
    380.92/526.16 = 344.06/x
  3. Step 3: Cross multiply
    380.92x = 526.16 × 344.06
  4. Step 4: Simplify right side
    380.92x = 181,030.61
  5. Step 5: Solve for x
    x = 181,030.61/380.92
  6. Step 6: Final answer
    x = 475.25

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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.