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Finding the Fourth Proportional to 605.36, 903.10 and 588.62

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Solution

The fourth proportional to 605.36, 903.10 and 588.62 is: 878.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.36 : 903.10 = 588.62 : x
  2. Step 2: Convert to fraction form
    605.36/903.10 = 588.62/x
  3. Step 3: Cross multiply
    605.36x = 903.10 × 588.62
  4. Step 4: Simplify right side
    605.36x = 531,582.72
  5. Step 5: Solve for x
    x = 531,582.72/605.36
  6. Step 6: Final answer
    x = 878.13

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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.