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Finding the Fourth Proportional to 582.60, 872.54 and 418.28

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Solution

The fourth proportional to 582.60, 872.54 and 418.28 is: 626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.60 : 872.54 = 418.28 : x
  2. Step 2: Convert to fraction form
    582.60/872.54 = 418.28/x
  3. Step 3: Cross multiply
    582.60x = 872.54 × 418.28
  4. Step 4: Simplify right side
    582.60x = 364,961.15
  5. Step 5: Solve for x
    x = 364,961.15/582.60
  6. Step 6: Final answer
    x = 626.43

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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.