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Finding the Fourth Proportional to 590.71, 885.87 and 409.27

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Solution

The fourth proportional to 590.71, 885.87 and 409.27 is: 613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.71 : 885.87 = 409.27 : x
  2. Step 2: Convert to fraction form
    590.71/885.87 = 409.27/x
  3. Step 3: Cross multiply
    590.71x = 885.87 × 409.27
  4. Step 4: Simplify right side
    590.71x = 362,560.01
  5. Step 5: Solve for x
    x = 362,560.01/590.71
  6. Step 6: Final answer
    x = 613.77

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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.