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Finding the Fourth Proportional to 486.09, 729.41 and 291.15

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Solution

The fourth proportional to 486.09, 729.41 and 291.15 is: 436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.09 : 729.41 = 291.15 : x
  2. Step 2: Convert to fraction form
    486.09/729.41 = 291.15/x
  3. Step 3: Cross multiply
    486.09x = 729.41 × 291.15
  4. Step 4: Simplify right side
    486.09x = 212,366.27
  5. Step 5: Solve for x
    x = 212,366.27/486.09
  6. Step 6: Final answer
    x = 436.89

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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.