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Finding the Fourth Proportional to 582.40, 871.68 and 420.48

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Solution

The fourth proportional to 582.40, 871.68 and 420.48 is: 629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.40 : 871.68 = 420.48 : x
  2. Step 2: Convert to fraction form
    582.40/871.68 = 420.48/x
  3. Step 3: Cross multiply
    582.40x = 871.68 × 420.48
  4. Step 4: Simplify right side
    582.40x = 366,524.01
  5. Step 5: Solve for x
    x = 366,524.01/582.40
  6. Step 6: Final answer
    x = 629.33

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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.