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Finding the Fourth Proportional to 636.84, 954.90 and 271.53

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Solution

The fourth proportional to 636.84, 954.90 and 271.53 is: 407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.84 : 954.90 = 271.53 : x
  2. Step 2: Convert to fraction form
    636.84/954.90 = 271.53/x
  3. Step 3: Cross multiply
    636.84x = 954.90 × 271.53
  4. Step 4: Simplify right side
    636.84x = 259,284.00
  5. Step 5: Solve for x
    x = 259,284.00/636.84
  6. Step 6: Final answer
    x = 407.14

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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.