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Finding the Fourth Proportional to 592.70, 817.98 and 344.10

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Solution

The fourth proportional to 592.70, 817.98 and 344.10 is: 474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.70 : 817.98 = 344.10 : x
  2. Step 2: Convert to fraction form
    592.70/817.98 = 344.10/x
  3. Step 3: Cross multiply
    592.70x = 817.98 × 344.10
  4. Step 4: Simplify right side
    592.70x = 281,465.63
  5. Step 5: Solve for x
    x = 281,465.63/592.70
  6. Step 6: Final answer
    x = 474.89

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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.