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Finding the Fourth Proportional to 592.24, 816.86 and 423.81

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Solution

The fourth proportional to 592.24, 816.86 and 423.81 is: 584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.24 : 816.86 = 423.81 : x
  2. Step 2: Convert to fraction form
    592.24/816.86 = 423.81/x
  3. Step 3: Cross multiply
    592.24x = 816.86 × 423.81
  4. Step 4: Simplify right side
    592.24x = 346,191.01
  5. Step 5: Solve for x
    x = 346,191.01/592.24
  6. Step 6: Final answer
    x = 584.55

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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.