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Finding the Fourth Proportional to 556.66, 768.25 and 416.53

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Solution

The fourth proportional to 556.66, 768.25 and 416.53 is: 574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.66 : 768.25 = 416.53 : x
  2. Step 2: Convert to fraction form
    556.66/768.25 = 416.53/x
  3. Step 3: Cross multiply
    556.66x = 768.25 × 416.53
  4. Step 4: Simplify right side
    556.66x = 319,999.17
  5. Step 5: Solve for x
    x = 319,999.17/556.66
  6. Step 6: Final answer
    x = 574.86

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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.