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Finding the Fourth Proportional to 564.12, 846.33 and 419.76

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Solution

The fourth proportional to 564.12, 846.33 and 419.76 is: 629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.12 : 846.33 = 419.76 : x
  2. Step 2: Convert to fraction form
    564.12/846.33 = 419.76/x
  3. Step 3: Cross multiply
    564.12x = 846.33 × 419.76
  4. Step 4: Simplify right side
    564.12x = 355,255.48
  5. Step 5: Solve for x
    x = 355,255.48/564.12
  6. Step 6: Final answer
    x = 629.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.