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Finding the Fourth Proportional to 592.03, 817.10 and 343.45

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Solution

The fourth proportional to 592.03, 817.10 and 343.45 is: 474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.03 : 817.10 = 343.45 : x
  2. Step 2: Convert to fraction form
    592.03/817.10 = 343.45/x
  3. Step 3: Cross multiply
    592.03x = 817.10 × 343.45
  4. Step 4: Simplify right side
    592.03x = 280,633.00
  5. Step 5: Solve for x
    x = 280,633.00/592.03
  6. Step 6: Final answer
    x = 474.02

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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.