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Finding the Fourth Proportional to 357.78, 492.51 and 308.37

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Solution

The fourth proportional to 357.78, 492.51 and 308.37 is: 424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.78 : 492.51 = 308.37 : x
  2. Step 2: Convert to fraction form
    357.78/492.51 = 308.37/x
  3. Step 3: Cross multiply
    357.78x = 492.51 × 308.37
  4. Step 4: Simplify right side
    357.78x = 151,875.31
  5. Step 5: Solve for x
    x = 151,875.31/357.78
  6. Step 6: Final answer
    x = 424.49

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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.