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Finding the Fourth Proportional to 605.14, 902.51 and 592.96

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Solution

The fourth proportional to 605.14, 902.51 and 592.96 is: 884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.14 : 902.51 = 592.96 : x
  2. Step 2: Convert to fraction form
    605.14/902.51 = 592.96/x
  3. Step 3: Cross multiply
    605.14x = 902.51 × 592.96
  4. Step 4: Simplify right side
    605.14x = 535,152.33
  5. Step 5: Solve for x
    x = 535,152.33/605.14
  6. Step 6: Final answer
    x = 884.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.