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Finding the Fourth Proportional to 594.12, 820.25 and 395.24

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Solution

The fourth proportional to 594.12, 820.25 and 395.24 is: 545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.12 : 820.25 = 395.24 : x
  2. Step 2: Convert to fraction form
    594.12/820.25 = 395.24/x
  3. Step 3: Cross multiply
    594.12x = 820.25 × 395.24
  4. Step 4: Simplify right side
    594.12x = 324,189.53
  5. Step 5: Solve for x
    x = 324,189.53/594.12
  6. Step 6: Final answer
    x = 545.66

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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.