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Finding the Fourth Proportional to 583.48, 874.20 and 420.40

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Solution

The fourth proportional to 583.48, 874.20 and 420.40 is: 629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.48 : 874.20 = 420.40 : x
  2. Step 2: Convert to fraction form
    583.48/874.20 = 420.40/x
  3. Step 3: Cross multiply
    583.48x = 874.20 × 420.40
  4. Step 4: Simplify right side
    583.48x = 367,513.68
  5. Step 5: Solve for x
    x = 367,513.68/583.48
  6. Step 6: Final answer
    x = 629.87

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