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Finding the Fourth Proportional to 378.92, 525.50 and 355.16

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Solution

The fourth proportional to 378.92, 525.50 and 355.16 is: 492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.92 : 525.50 = 355.16 : x
  2. Step 2: Convert to fraction form
    378.92/525.50 = 355.16/x
  3. Step 3: Cross multiply
    378.92x = 525.50 × 355.16
  4. Step 4: Simplify right side
    378.92x = 186,636.58
  5. Step 5: Solve for x
    x = 186,636.58/378.92
  6. Step 6: Final answer
    x = 492.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.