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Finding the Fourth Proportional to 486.92, 729.66 and 365.08

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Solution

The fourth proportional to 486.92, 729.66 and 365.08 is: 547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.92 : 729.66 = 365.08 : x
  2. Step 2: Convert to fraction form
    486.92/729.66 = 365.08/x
  3. Step 3: Cross multiply
    486.92x = 729.66 × 365.08
  4. Step 4: Simplify right side
    486.92x = 266,384.27
  5. Step 5: Solve for x
    x = 266,384.27/486.92
  6. Step 6: Final answer
    x = 547.08

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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.