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Finding the Fourth Proportional to 571.23, 787.86 and 374.67

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Solution

The fourth proportional to 571.23, 787.86 and 374.67 is: 516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.23 : 787.86 = 374.67 : x
  2. Step 2: Convert to fraction form
    571.23/787.86 = 374.67/x
  3. Step 3: Cross multiply
    571.23x = 787.86 × 374.67
  4. Step 4: Simplify right side
    571.23x = 295,187.51
  5. Step 5: Solve for x
    x = 295,187.51/571.23
  6. Step 6: Final answer
    x = 516.76

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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.