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Finding the Fourth Proportional to 524.90, 724.20 and 350.30

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Solution

The fourth proportional to 524.90, 724.20 and 350.30 is: 483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.90 : 724.20 = 350.30 : x
  2. Step 2: Convert to fraction form
    524.90/724.20 = 350.30/x
  3. Step 3: Cross multiply
    524.90x = 724.20 × 350.30
  4. Step 4: Simplify right side
    524.90x = 253,687.26
  5. Step 5: Solve for x
    x = 253,687.26/524.90
  6. Step 6: Final answer
    x = 483.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.