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Finding the Fourth Proportional to 582.10, 873.15 and 537.55

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Solution

The fourth proportional to 582.10, 873.15 and 537.55 is: 806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.10 : 873.15 = 537.55 : x
  2. Step 2: Convert to fraction form
    582.10/873.15 = 537.55/x
  3. Step 3: Cross multiply
    582.10x = 873.15 × 537.55
  4. Step 4: Simplify right side
    582.10x = 469,361.78
  5. Step 5: Solve for x
    x = 469,361.78/582.10
  6. Step 6: Final answer
    x = 806.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.