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Finding the Fourth Proportional to 592.62, 893.45 and 550.86

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Solution

The fourth proportional to 592.62, 893.45 and 550.86 is: 830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.62 : 893.45 = 550.86 : x
  2. Step 2: Convert to fraction form
    592.62/893.45 = 550.86/x
  3. Step 3: Cross multiply
    592.62x = 893.45 × 550.86
  4. Step 4: Simplify right side
    592.62x = 492,163.11
  5. Step 5: Solve for x
    x = 492,163.11/592.62
  6. Step 6: Final answer
    x = 830.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.