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Finding the Fourth Proportional to 357.06, 492.37 and 282.25

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Solution

The fourth proportional to 357.06, 492.37 and 282.25 is: 389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.06 : 492.37 = 282.25 : x
  2. Step 2: Convert to fraction form
    357.06/492.37 = 282.25/x
  3. Step 3: Cross multiply
    357.06x = 492.37 × 282.25
  4. Step 4: Simplify right side
    357.06x = 138,971.34
  5. Step 5: Solve for x
    x = 138,971.34/357.06
  6. Step 6: Final answer
    x = 389.21

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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.