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Finding the Fourth Proportional to 561.45, 774.78 and 312.76

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Solution

The fourth proportional to 561.45, 774.78 and 312.76 is: 431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.45 : 774.78 = 312.76 : x
  2. Step 2: Convert to fraction form
    561.45/774.78 = 312.76/x
  3. Step 3: Cross multiply
    561.45x = 774.78 × 312.76
  4. Step 4: Simplify right side
    561.45x = 242,321.93
  5. Step 5: Solve for x
    x = 242,321.93/561.45
  6. Step 6: Final answer
    x = 431.60

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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.