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Finding the Fourth Proportional to 814.83, 1,223.18 and 328.23

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Solution

The fourth proportional to 814.83, 1,223.18 and 328.23 is: 492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.83 : 1,223.18 = 328.23 : x
  2. Step 2: Convert to fraction form
    814.83/1,223.18 = 328.23/x
  3. Step 3: Cross multiply
    814.83x = 1,223.18 × 328.23
  4. Step 4: Simplify right side
    814.83x = 401,482.73
  5. Step 5: Solve for x
    x = 401,482.73/814.83
  6. Step 6: Final answer
    x = 492.72

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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.