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Finding the Fourth Proportional to 816.24, 1,223.82 and 328.71

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Solution

The fourth proportional to 816.24, 1,223.82 and 328.71 is: 492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.24 : 1,223.82 = 328.71 : x
  2. Step 2: Convert to fraction form
    816.24/1,223.82 = 328.71/x
  3. Step 3: Cross multiply
    816.24x = 1,223.82 × 328.71
  4. Step 4: Simplify right side
    816.24x = 402,281.87
  5. Step 5: Solve for x
    x = 402,281.87/816.24
  6. Step 6: Final answer
    x = 492.85

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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.