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Finding the Fourth Proportional to 486, 729 and 294.03

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Solution

The fourth proportional to 486, 729 and 294.03 is: 441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486 : 729 = 294.03 : x
  2. Step 2: Convert to fraction form
    486/729 = 294.03/x
  3. Step 3: Cross multiply
    486x = 729 × 294.03
  4. Step 4: Simplify right side
    486x = 214,347.87
  5. Step 5: Solve for x
    x = 214,347.87/486
  6. Step 6: Final answer
    x = 441.05

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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.