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Finding the Fourth Proportional to 486.65, 729.97 and 332.87

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Solution

The fourth proportional to 486.65, 729.97 and 332.87 is: 499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.65 : 729.97 = 332.87 : x
  2. Step 2: Convert to fraction form
    486.65/729.97 = 332.87/x
  3. Step 3: Cross multiply
    486.65x = 729.97 × 332.87
  4. Step 4: Simplify right side
    486.65x = 242,980.63
  5. Step 5: Solve for x
    x = 242,980.63/486.65
  6. Step 6: Final answer
    x = 499.30

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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.