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Finding the Fourth Proportional to 381.43, 526.58 and 264.79

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Solution

The fourth proportional to 381.43, 526.58 and 264.79 is: 365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.43 : 526.58 = 264.79 : x
  2. Step 2: Convert to fraction form
    381.43/526.58 = 264.79/x
  3. Step 3: Cross multiply
    381.43x = 526.58 × 264.79
  4. Step 4: Simplify right side
    381.43x = 139,433.12
  5. Step 5: Solve for x
    x = 139,433.12/381.43
  6. Step 6: Final answer
    x = 365.55

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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.