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Finding the Fourth Proportional to 357.27, 492.51 and 252.03

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Solution

The fourth proportional to 357.27, 492.51 and 252.03 is: 347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.27 : 492.51 = 252.03 : x
  2. Step 2: Convert to fraction form
    357.27/492.51 = 252.03/x
  3. Step 3: Cross multiply
    357.27x = 492.51 × 252.03
  4. Step 4: Simplify right side
    357.27x = 124,127.30
  5. Step 5: Solve for x
    x = 124,127.30/357.27
  6. Step 6: Final answer
    x = 347.43

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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.