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Finding the Fourth Proportional to 556.82, 768.09 and 407.25

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Solution

The fourth proportional to 556.82, 768.09 and 407.25 is: 561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.82 : 768.09 = 407.25 : x
  2. Step 2: Convert to fraction form
    556.82/768.09 = 407.25/x
  3. Step 3: Cross multiply
    556.82x = 768.09 × 407.25
  4. Step 4: Simplify right side
    556.82x = 312,804.65
  5. Step 5: Solve for x
    x = 312,804.65/556.82
  6. Step 6: Final answer
    x = 561.77

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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.