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Finding the Fourth Proportional to 513.14, 707.54 and 381.92

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Solution

The fourth proportional to 513.14, 707.54 and 381.92 is: 526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.14 : 707.54 = 381.92 : x
  2. Step 2: Convert to fraction form
    513.14/707.54 = 381.92/x
  3. Step 3: Cross multiply
    513.14x = 707.54 × 381.92
  4. Step 4: Simplify right side
    513.14x = 270,218.23
  5. Step 5: Solve for x
    x = 270,218.23/513.14
  6. Step 6: Final answer
    x = 526.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.