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Finding the Fourth Proportional to 484.02, 726.50 and 345.35

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Solution

The fourth proportional to 484.02, 726.50 and 345.35 is: 518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.02 : 726.50 = 345.35 : x
  2. Step 2: Convert to fraction form
    484.02/726.50 = 345.35/x
  3. Step 3: Cross multiply
    484.02x = 726.50 × 345.35
  4. Step 4: Simplify right side
    484.02x = 250,899.45
  5. Step 5: Solve for x
    x = 250,899.45/484.02
  6. Step 6: Final answer
    x = 518.37

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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.