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Finding the Fourth Proportional to 381.48, 526.24 and 270.76

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Solution

The fourth proportional to 381.48, 526.24 and 270.76 is: 373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.48 : 526.24 = 270.76 : x
  2. Step 2: Convert to fraction form
    381.48/526.24 = 270.76/x
  3. Step 3: Cross multiply
    381.48x = 526.24 × 270.76
  4. Step 4: Simplify right side
    381.48x = 142,484.74
  5. Step 5: Solve for x
    x = 142,484.74/381.48
  6. Step 6: Final answer
    x = 373.51

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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.