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Finding the Fourth Proportional to 594.93, 891.08 and 456.96

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Solution

The fourth proportional to 594.93, 891.08 and 456.96 is: 684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.93 : 891.08 = 456.96 : x
  2. Step 2: Convert to fraction form
    594.93/891.08 = 456.96/x
  3. Step 3: Cross multiply
    594.93x = 891.08 × 456.96
  4. Step 4: Simplify right side
    594.93x = 407,189.57
  5. Step 5: Solve for x
    x = 407,189.57/594.93
  6. Step 6: Final answer
    x = 684.43

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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.