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Finding the Fourth Proportional to 594.96, 893.25 and 422.16

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Solution

The fourth proportional to 594.96, 893.25 and 422.16 is: 633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.96 : 893.25 = 422.16 : x
  2. Step 2: Convert to fraction form
    594.96/893.25 = 422.16/x
  3. Step 3: Cross multiply
    594.96x = 893.25 × 422.16
  4. Step 4: Simplify right side
    594.96x = 377,094.42
  5. Step 5: Solve for x
    x = 377,094.42/594.96
  6. Step 6: Final answer
    x = 633.81

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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.