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Finding the Fourth Proportional to 277.65, 415.58 and 209.07

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Solution

The fourth proportional to 277.65, 415.58 and 209.07 is: 312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.65 : 415.58 = 209.07 : x
  2. Step 2: Convert to fraction form
    277.65/415.58 = 209.07/x
  3. Step 3: Cross multiply
    277.65x = 415.58 × 209.07
  4. Step 4: Simplify right side
    277.65x = 86,884.27
  5. Step 5: Solve for x
    x = 86,884.27/277.65
  6. Step 6: Final answer
    x = 312.93

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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.