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Finding the Fourth Proportional to 320.19, 477.26 and 301.92

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Solution

The fourth proportional to 320.19, 477.26 and 301.92 is: 450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.19 : 477.26 = 301.92 : x
  2. Step 2: Convert to fraction form
    320.19/477.26 = 301.92/x
  3. Step 3: Cross multiply
    320.19x = 477.26 × 301.92
  4. Step 4: Simplify right side
    320.19x = 144,092.83
  5. Step 5: Solve for x
    x = 144,092.83/320.19
  6. Step 6: Final answer
    x = 450.02

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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.