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Finding the Fourth Proportional to 592.62, 817.76 and 343.95

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Solution

The fourth proportional to 592.62, 817.76 and 343.95 is: 474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.62 : 817.76 = 343.95 : x
  2. Step 2: Convert to fraction form
    592.62/817.76 = 343.95/x
  3. Step 3: Cross multiply
    592.62x = 817.76 × 343.95
  4. Step 4: Simplify right side
    592.62x = 281,266.83
  5. Step 5: Solve for x
    x = 281,266.83/592.62
  6. Step 6: Final answer
    x = 474.62

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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.