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Finding the Fourth Proportional to 592.53, 817.62 and 343.86

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Solution

The fourth proportional to 592.53, 817.62 and 343.86 is: 474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.53 : 817.62 = 343.86 : x
  2. Step 2: Convert to fraction form
    592.53/817.62 = 343.86/x
  3. Step 3: Cross multiply
    592.53x = 817.62 × 343.86
  4. Step 4: Simplify right side
    592.53x = 281,146.81
  5. Step 5: Solve for x
    x = 281,146.81/592.53
  6. Step 6: Final answer
    x = 474.49

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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.