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Finding the Fourth Proportional to 556.25, 765.96 and 476.97

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Solution

The fourth proportional to 556.25, 765.96 and 476.97 is: 656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.25 : 765.96 = 476.97 : x
  2. Step 2: Convert to fraction form
    556.25/765.96 = 476.97/x
  3. Step 3: Cross multiply
    556.25x = 765.96 × 476.97
  4. Step 4: Simplify right side
    556.25x = 365,339.94
  5. Step 5: Solve for x
    x = 365,339.94/556.25
  6. Step 6: Final answer
    x = 656.80

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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.