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Finding the Fourth Proportional to 484.02, 724.29 and 419.24

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Solution

The fourth proportional to 484.02, 724.29 and 419.24 is: 627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.02 : 724.29 = 419.24 : x
  2. Step 2: Convert to fraction form
    484.02/724.29 = 419.24/x
  3. Step 3: Cross multiply
    484.02x = 724.29 × 419.24
  4. Step 4: Simplify right side
    484.02x = 303,651.34
  5. Step 5: Solve for x
    x = 303,651.34/484.02
  6. Step 6: Final answer
    x = 627.35

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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.