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Finding the Fourth Proportional to 486.98, 729.45 and 365.07

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Solution

The fourth proportional to 486.98, 729.45 and 365.07 is: 546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.98 : 729.45 = 365.07 : x
  2. Step 2: Convert to fraction form
    486.98/729.45 = 365.07/x
  3. Step 3: Cross multiply
    486.98x = 729.45 × 365.07
  4. Step 4: Simplify right side
    486.98x = 266,300.31
  5. Step 5: Solve for x
    x = 266,300.31/486.98
  6. Step 6: Final answer
    x = 546.85

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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.