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Finding the Fourth Proportional to 389.56, 582.29 and 297.30

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Solution

The fourth proportional to 389.56, 582.29 and 297.30 is: 444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.56 : 582.29 = 297.30 : x
  2. Step 2: Convert to fraction form
    389.56/582.29 = 297.30/x
  3. Step 3: Cross multiply
    389.56x = 582.29 × 297.30
  4. Step 4: Simplify right side
    389.56x = 173,111.72
  5. Step 5: Solve for x
    x = 173,111.72/389.56
  6. Step 6: Final answer
    x = 444.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.