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Finding the Fourth Proportional to 561.14, 774.35 and 312.48

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Solution

The fourth proportional to 561.14, 774.35 and 312.48 is: 431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.14 : 774.35 = 312.48 : x
  2. Step 2: Convert to fraction form
    561.14/774.35 = 312.48/x
  3. Step 3: Cross multiply
    561.14x = 774.35 × 312.48
  4. Step 4: Simplify right side
    561.14x = 241,971.40
  5. Step 5: Solve for x
    x = 241,971.40/561.14
  6. Step 6: Final answer
    x = 431.21

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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.