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Finding the Fourth Proportional to 320.22, 441.54 and 271.02

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Solution

The fourth proportional to 320.22, 441.54 and 271.02 is: 373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.22 : 441.54 = 271.02 : x
  2. Step 2: Convert to fraction form
    320.22/441.54 = 271.02/x
  3. Step 3: Cross multiply
    320.22x = 441.54 × 271.02
  4. Step 4: Simplify right side
    320.22x = 119,666.17
  5. Step 5: Solve for x
    x = 119,666.17/320.22
  6. Step 6: Final answer
    x = 373.70

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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.