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Finding the Fourth Proportional to 423.84, 588.93 and 419.34

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Solution

The fourth proportional to 423.84, 588.93 and 419.34 is: 582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.84 : 588.93 = 419.34 : x
  2. Step 2: Convert to fraction form
    423.84/588.93 = 419.34/x
  3. Step 3: Cross multiply
    423.84x = 588.93 × 419.34
  4. Step 4: Simplify right side
    423.84x = 246,961.91
  5. Step 5: Solve for x
    x = 246,961.91/423.84
  6. Step 6: Final answer
    x = 582.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.