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Finding the Fourth Proportional to 461.74, 637.22 and 251.93

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Solution

The fourth proportional to 461.74, 637.22 and 251.93 is: 347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.74 : 637.22 = 251.93 : x
  2. Step 2: Convert to fraction form
    461.74/637.22 = 251.93/x
  3. Step 3: Cross multiply
    461.74x = 637.22 × 251.93
  4. Step 4: Simplify right side
    461.74x = 160,534.83
  5. Step 5: Solve for x
    x = 160,534.83/461.74
  6. Step 6: Final answer
    x = 347.67

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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.