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Finding the Fourth Proportional to 592.36, 817.71 and 424.42

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Solution

The fourth proportional to 592.36, 817.71 and 424.42 is: 585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.36 : 817.71 = 424.42 : x
  2. Step 2: Convert to fraction form
    592.36/817.71 = 424.42/x
  3. Step 3: Cross multiply
    592.36x = 817.71 × 424.42
  4. Step 4: Simplify right side
    592.36x = 347,052.48
  5. Step 5: Solve for x
    x = 347,052.48/592.36
  6. Step 6: Final answer
    x = 585.88

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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.