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Finding the Fourth Proportional to 363.04, 545.04 and 353.44

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Solution

The fourth proportional to 363.04, 545.04 and 353.44 is: 530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.04 : 545.04 = 353.44 : x
  2. Step 2: Convert to fraction form
    363.04/545.04 = 353.44/x
  3. Step 3: Cross multiply
    363.04x = 545.04 × 353.44
  4. Step 4: Simplify right side
    363.04x = 192,638.94
  5. Step 5: Solve for x
    x = 192,638.94/363.04
  6. Step 6: Final answer
    x = 530.63

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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.