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Finding the Fourth Proportional to 675.87, 932.75 and 381.16

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Solution

The fourth proportional to 675.87, 932.75 and 381.16 is: 526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.87 : 932.75 = 381.16 : x
  2. Step 2: Convert to fraction form
    675.87/932.75 = 381.16/x
  3. Step 3: Cross multiply
    675.87x = 932.75 × 381.16
  4. Step 4: Simplify right side
    675.87x = 355,525.08
  5. Step 5: Solve for x
    x = 355,525.08/675.87
  6. Step 6: Final answer
    x = 526.03

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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.