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Finding the Fourth Proportional to 342.15, 513 and 277.23

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Solution

The fourth proportional to 342.15, 513 and 277.23 is: 415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.15 : 513 = 277.23 : x
  2. Step 2: Convert to fraction form
    342.15/513 = 277.23/x
  3. Step 3: Cross multiply
    342.15x = 513 × 277.23
  4. Step 4: Simplify right side
    342.15x = 142,218.99
  5. Step 5: Solve for x
    x = 142,218.99/342.15
  6. Step 6: Final answer
    x = 415.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.