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Finding the Fourth Proportional to 585.69, 808 and 419.57

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Solution

The fourth proportional to 585.69, 808 and 419.57 is: 578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.69 : 808 = 419.57 : x
  2. Step 2: Convert to fraction form
    585.69/808 = 419.57/x
  3. Step 3: Cross multiply
    585.69x = 808 × 419.57
  4. Step 4: Simplify right side
    585.69x = 339,012.56
  5. Step 5: Solve for x
    x = 339,012.56/585.69
  6. Step 6: Final answer
    x = 578.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.