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Finding the Fourth Proportional to 486.03, 727.23 and 291.14

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Solution

The fourth proportional to 486.03, 727.23 and 291.14 is: 435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.03 : 727.23 = 291.14 : x
  2. Step 2: Convert to fraction form
    486.03/727.23 = 291.14/x
  3. Step 3: Cross multiply
    486.03x = 727.23 × 291.14
  4. Step 4: Simplify right side
    486.03x = 211,722.11
  5. Step 5: Solve for x
    x = 211,722.11/486.03
  6. Step 6: Final answer
    x = 435.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.