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Finding the Fourth Proportional to 585.96, 807.81 and 419.87

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Solution

The fourth proportional to 585.96, 807.81 and 419.87 is: 578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.96 : 807.81 = 419.87 : x
  2. Step 2: Convert to fraction form
    585.96/807.81 = 419.87/x
  3. Step 3: Cross multiply
    585.96x = 807.81 × 419.87
  4. Step 4: Simplify right side
    585.96x = 339,177.20
  5. Step 5: Solve for x
    x = 339,177.20/585.96
  6. Step 6: Final answer
    x = 578.84

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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.