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Finding the Fourth Proportional to 637.42, 955.29 and 271.77

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Solution

The fourth proportional to 637.42, 955.29 and 271.77 is: 407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.42 : 955.29 = 271.77 : x
  2. Step 2: Convert to fraction form
    637.42/955.29 = 271.77/x
  3. Step 3: Cross multiply
    637.42x = 955.29 × 271.77
  4. Step 4: Simplify right side
    637.42x = 259,619.16
  5. Step 5: Solve for x
    x = 259,619.16/637.42
  6. Step 6: Final answer
    x = 407.30

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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.