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Finding the Fourth Proportional to 556.56, 767.79 and 416.25

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Solution

The fourth proportional to 556.56, 767.79 and 416.25 is: 574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 767.79 = 416.25 : x
  2. Step 2: Convert to fraction form
    556.56/767.79 = 416.25/x
  3. Step 3: Cross multiply
    556.56x = 767.79 × 416.25
  4. Step 4: Simplify right side
    556.56x = 319,592.59
  5. Step 5: Solve for x
    x = 319,592.59/556.56
  6. Step 6: Final answer
    x = 574.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.