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Finding the Fourth Proportional to 594.13, 890.94 and 411.58

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Solution

The fourth proportional to 594.13, 890.94 and 411.58 is: 617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.13 : 890.94 = 411.58 : x
  2. Step 2: Convert to fraction form
    594.13/890.94 = 411.58/x
  3. Step 3: Cross multiply
    594.13x = 890.94 × 411.58
  4. Step 4: Simplify right side
    594.13x = 366,693.09
  5. Step 5: Solve for x
    x = 366,693.09/594.13
  6. Step 6: Final answer
    x = 617.19

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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.