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Finding the Fourth Proportional to 486.50, 729.95 and 269.93

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Solution

The fourth proportional to 486.50, 729.95 and 269.93 is: 405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.50 : 729.95 = 269.93 : x
  2. Step 2: Convert to fraction form
    486.50/729.95 = 269.93/x
  3. Step 3: Cross multiply
    486.50x = 729.95 × 269.93
  4. Step 4: Simplify right side
    486.50x = 197,035.88
  5. Step 5: Solve for x
    x = 197,035.88/486.50
  6. Step 6: Final answer
    x = 405.01

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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.