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Finding the Fourth Proportional to 561.92, 775.49 and 313.24

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Solution

The fourth proportional to 561.92, 775.49 and 313.24 is: 432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.92 : 775.49 = 313.24 : x
  2. Step 2: Convert to fraction form
    561.92/775.49 = 313.24/x
  3. Step 3: Cross multiply
    561.92x = 775.49 × 313.24
  4. Step 4: Simplify right side
    561.92x = 242,914.49
  5. Step 5: Solve for x
    x = 242,914.49/561.92
  6. Step 6: Final answer
    x = 432.29

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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.