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Finding the Fourth Proportional to 592.79, 817.97 and 344.07

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Solution

The fourth proportional to 592.79, 817.97 and 344.07 is: 474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.79 : 817.97 = 344.07 : x
  2. Step 2: Convert to fraction form
    592.79/817.97 = 344.07/x
  3. Step 3: Cross multiply
    592.79x = 817.97 × 344.07
  4. Step 4: Simplify right side
    592.79x = 281,437.22
  5. Step 5: Solve for x
    x = 281,437.22/592.79
  6. Step 6: Final answer
    x = 474.77

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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.