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Finding the Fourth Proportional to 561.37, 774.68 and 312.68

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Solution

The fourth proportional to 561.37, 774.68 and 312.68 is: 431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.37 : 774.68 = 312.68 : x
  2. Step 2: Convert to fraction form
    561.37/774.68 = 312.68/x
  3. Step 3: Cross multiply
    561.37x = 774.68 × 312.68
  4. Step 4: Simplify right side
    561.37x = 242,226.94
  5. Step 5: Solve for x
    x = 242,226.94/561.37
  6. Step 6: Final answer
    x = 431.49

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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.