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Finding the Fourth Proportional to 592.28, 816.73 and 578.87

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Solution

The fourth proportional to 592.28, 816.73 and 578.87 is: 798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.28 : 816.73 = 578.87 : x
  2. Step 2: Convert to fraction form
    592.28/816.73 = 578.87/x
  3. Step 3: Cross multiply
    592.28x = 816.73 × 578.87
  4. Step 4: Simplify right side
    592.28x = 472,774.96
  5. Step 5: Solve for x
    x = 472,774.96/592.28
  6. Step 6: Final answer
    x = 798.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.