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Finding the Fourth Proportional to 561.31, 774.54 and 312.59

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Solution

The fourth proportional to 561.31, 774.54 and 312.59 is: 431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.31 : 774.54 = 312.59 : x
  2. Step 2: Convert to fraction form
    561.31/774.54 = 312.59/x
  3. Step 3: Cross multiply
    561.31x = 774.54 × 312.59
  4. Step 4: Simplify right side
    561.31x = 242,115.39
  5. Step 5: Solve for x
    x = 242,115.39/561.31
  6. Step 6: Final answer
    x = 431.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.