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Finding the Fourth Proportional to 592.42, 817.68 and 395.86

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Solution

The fourth proportional to 592.42, 817.68 and 395.86 is: 546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.42 : 817.68 = 395.86 : x
  2. Step 2: Convert to fraction form
    592.42/817.68 = 395.86/x
  3. Step 3: Cross multiply
    592.42x = 817.68 × 395.86
  4. Step 4: Simplify right side
    592.42x = 323,686.80
  5. Step 5: Solve for x
    x = 323,686.80/592.42
  6. Step 6: Final answer
    x = 546.38

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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.