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Finding the Fourth Proportional to 594.73, 892.23 and 465.13

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Solution

The fourth proportional to 594.73, 892.23 and 465.13 is: 697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.73 : 892.23 = 465.13 : x
  2. Step 2: Convert to fraction form
    594.73/892.23 = 465.13/x
  3. Step 3: Cross multiply
    594.73x = 892.23 × 465.13
  4. Step 4: Simplify right side
    594.73x = 415,002.94
  5. Step 5: Solve for x
    x = 415,002.94/594.73
  6. Step 6: Final answer
    x = 697.80

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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.