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Finding the Fourth Proportional to 545.88, 753.34 and 321.94

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Solution

The fourth proportional to 545.88, 753.34 and 321.94 is: 444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.88 : 753.34 = 321.94 : x
  2. Step 2: Convert to fraction form
    545.88/753.34 = 321.94/x
  3. Step 3: Cross multiply
    545.88x = 753.34 × 321.94
  4. Step 4: Simplify right side
    545.88x = 242,530.28
  5. Step 5: Solve for x
    x = 242,530.28/545.88
  6. Step 6: Final answer
    x = 444.29

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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.