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Finding the Fourth Proportional to 484.88, 726.98 and 399.02

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Solution

The fourth proportional to 484.88, 726.98 and 399.02 is: 598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.88 : 726.98 = 399.02 : x
  2. Step 2: Convert to fraction form
    484.88/726.98 = 399.02/x
  3. Step 3: Cross multiply
    484.88x = 726.98 × 399.02
  4. Step 4: Simplify right side
    484.88x = 290,079.56
  5. Step 5: Solve for x
    x = 290,079.56/484.88
  6. Step 6: Final answer
    x = 598.25

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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.