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Finding the Fourth Proportional to 594.36, 890.19 and 463.35

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Solution

The fourth proportional to 594.36, 890.19 and 463.35 is: 693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.36 : 890.19 = 463.35 : x
  2. Step 2: Convert to fraction form
    594.36/890.19 = 463.35/x
  3. Step 3: Cross multiply
    594.36x = 890.19 × 463.35
  4. Step 4: Simplify right side
    594.36x = 412,469.54
  5. Step 5: Solve for x
    x = 412,469.54/594.36
  6. Step 6: Final answer
    x = 693.97

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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.