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Finding the Fourth Proportional to 561.20, 774.43 and 312.51

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Solution

The fourth proportional to 561.20, 774.43 and 312.51 is: 431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.20 : 774.43 = 312.51 : x
  2. Step 2: Convert to fraction form
    561.20/774.43 = 312.51/x
  3. Step 3: Cross multiply
    561.20x = 774.43 × 312.51
  4. Step 4: Simplify right side
    561.20x = 242,020.41
  5. Step 5: Solve for x
    x = 242,020.41/561.20
  6. Step 6: Final answer
    x = 431.26

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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.