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Finding the Fourth Proportional to 592.48, 817.50 and 343.78

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Solution

The fourth proportional to 592.48, 817.50 and 343.78 is: 474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.48 : 817.50 = 343.78 : x
  2. Step 2: Convert to fraction form
    592.48/817.50 = 343.78/x
  3. Step 3: Cross multiply
    592.48x = 817.50 × 343.78
  4. Step 4: Simplify right side
    592.48x = 281,040.15
  5. Step 5: Solve for x
    x = 281,040.15/592.48
  6. Step 6: Final answer
    x = 474.35

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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.