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Finding the Fourth Proportional to 564.01, 846.01 and 419.83

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Solution

The fourth proportional to 564.01, 846.01 and 419.83 is: 629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.01 : 846.01 = 419.83 : x
  2. Step 2: Convert to fraction form
    564.01/846.01 = 419.83/x
  3. Step 3: Cross multiply
    564.01x = 846.01 × 419.83
  4. Step 4: Simplify right side
    564.01x = 355,178.79
  5. Step 5: Solve for x
    x = 355,178.79/564.01
  6. Step 6: Final answer
    x = 629.74

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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.