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Finding the Fourth Proportional to 486.70, 728.24 and 291.82

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Solution

The fourth proportional to 486.70, 728.24 and 291.82 is: 436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.70 : 728.24 = 291.82 : x
  2. Step 2: Convert to fraction form
    486.70/728.24 = 291.82/x
  3. Step 3: Cross multiply
    486.70x = 728.24 × 291.82
  4. Step 4: Simplify right side
    486.70x = 212,515.00
  5. Step 5: Solve for x
    x = 212,515.00/486.70
  6. Step 6: Final answer
    x = 436.64

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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.