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Finding the Fourth Proportional to 342.38, 511.26 and 277.45

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Solution

The fourth proportional to 342.38, 511.26 and 277.45 is: 414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.38 : 511.26 = 277.45 : x
  2. Step 2: Convert to fraction form
    342.38/511.26 = 277.45/x
  3. Step 3: Cross multiply
    342.38x = 511.26 × 277.45
  4. Step 4: Simplify right side
    342.38x = 141,849.09
  5. Step 5: Solve for x
    x = 141,849.09/342.38
  6. Step 6: Final answer
    x = 414.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.