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Finding the Fourth Proportional to 561.23, 774.49 and 312.57

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Solution

The fourth proportional to 561.23, 774.49 and 312.57 is: 431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.23 : 774.49 = 312.57 : x
  2. Step 2: Convert to fraction form
    561.23/774.49 = 312.57/x
  3. Step 3: Cross multiply
    561.23x = 774.49 × 312.57
  4. Step 4: Simplify right side
    561.23x = 242,082.34
  5. Step 5: Solve for x
    x = 242,082.34/561.23
  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.