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Finding the Fourth Proportional to 564.54, 846.81 and 421.17

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Solution

The fourth proportional to 564.54, 846.81 and 421.17 is: 631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.54 : 846.81 = 421.17 : x
  2. Step 2: Convert to fraction form
    564.54/846.81 = 421.17/x
  3. Step 3: Cross multiply
    564.54x = 846.81 × 421.17
  4. Step 4: Simplify right side
    564.54x = 356,650.97
  5. Step 5: Solve for x
    x = 356,650.97/564.54
  6. Step 6: Final answer
    x = 631.76

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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.