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Finding the Fourth Proportional to 561.41, 774.68 and 312.74

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Solution

The fourth proportional to 561.41, 774.68 and 312.74 is: 431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.41 : 774.68 = 312.74 : x
  2. Step 2: Convert to fraction form
    561.41/774.68 = 312.74/x
  3. Step 3: Cross multiply
    561.41x = 774.68 × 312.74
  4. Step 4: Simplify right side
    561.41x = 242,273.42
  5. Step 5: Solve for x
    x = 242,273.42/561.41
  6. Step 6: Final answer
    x = 431.54

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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.