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Finding the Fourth Proportional to 277.01, 415.71 and 208.71

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Solution

The fourth proportional to 277.01, 415.71 and 208.71 is: 313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.01 : 415.71 = 208.71 : x
  2. Step 2: Convert to fraction form
    277.01/415.71 = 208.71/x
  3. Step 3: Cross multiply
    277.01x = 415.71 × 208.71
  4. Step 4: Simplify right side
    277.01x = 86,762.83
  5. Step 5: Solve for x
    x = 86,762.83/277.01
  6. Step 6: Final answer
    x = 313.21

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