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Finding the Fourth Proportional to 357.50, 494.26 and 342.20

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Solution

The fourth proportional to 357.50, 494.26 and 342.20 is: 473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.50 : 494.26 = 342.20 : x
  2. Step 2: Convert to fraction form
    357.50/494.26 = 342.20/x
  3. Step 3: Cross multiply
    357.50x = 494.26 × 342.20
  4. Step 4: Simplify right side
    357.50x = 169,135.77
  5. Step 5: Solve for x
    x = 169,135.77/357.50
  6. Step 6: Final answer
    x = 473.11

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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.