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Finding the Fourth Proportional to 342.24, 511.09 and 277.32

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Solution

The fourth proportional to 342.24, 511.09 and 277.32 is: 414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 511.09 = 277.32 : x
  2. Step 2: Convert to fraction form
    342.24/511.09 = 277.32/x
  3. Step 3: Cross multiply
    342.24x = 511.09 × 277.32
  4. Step 4: Simplify right side
    342.24x = 141,735.48
  5. Step 5: Solve for x
    x = 141,735.48/342.24
  6. Step 6: Final answer
    x = 414.14

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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.