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Finding the Fourth Proportional to 594.82, 891.42 and 412.30

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Solution

The fourth proportional to 594.82, 891.42 and 412.30 is: 617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.82 : 891.42 = 412.30 : x
  2. Step 2: Convert to fraction form
    594.82/891.42 = 412.30/x
  3. Step 3: Cross multiply
    594.82x = 891.42 × 412.30
  4. Step 4: Simplify right side
    594.82x = 367,532.47
  5. Step 5: Solve for x
    x = 367,532.47/594.82
  6. Step 6: Final answer
    x = 617.89

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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.