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Finding the Fourth Proportional to 556.74, 768.75 and 417.09

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Solution

The fourth proportional to 556.74, 768.75 and 417.09 is: 575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.74 : 768.75 = 417.09 : x
  2. Step 2: Convert to fraction form
    556.74/768.75 = 417.09/x
  3. Step 3: Cross multiply
    556.74x = 768.75 × 417.09
  4. Step 4: Simplify right side
    556.74x = 320,637.94
  5. Step 5: Solve for x
    x = 320,637.94/556.74
  6. Step 6: Final answer
    x = 575.92

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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.