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Finding the Fourth Proportional to 561.26, 774.54 and 312.55

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Solution

The fourth proportional to 561.26, 774.54 and 312.55 is: 431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.26 : 774.54 = 312.55 : x
  2. Step 2: Convert to fraction form
    561.26/774.54 = 312.55/x
  3. Step 3: Cross multiply
    561.26x = 774.54 × 312.55
  4. Step 4: Simplify right side
    561.26x = 242,080.54
  5. Step 5: Solve for x
    x = 242,080.54/561.26
  6. Step 6: Final answer
    x = 431.31

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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.