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Finding the Fourth Proportional to 561.96, 775.46 and 313.24

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Solution

The fourth proportional to 561.96, 775.46 and 313.24 is: 432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.96 : 775.46 = 313.24 : x
  2. Step 2: Convert to fraction form
    561.96/775.46 = 313.24/x
  3. Step 3: Cross multiply
    561.96x = 775.46 × 313.24
  4. Step 4: Simplify right side
    561.96x = 242,905.09
  5. Step 5: Solve for x
    x = 242,905.09/561.96
  6. Step 6: Final answer
    x = 432.25

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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.