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Finding the Fourth Proportional to 815.76, 1,223.30 and 328.68

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Solution

The fourth proportional to 815.76, 1,223.30 and 328.68 is: 492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.76 : 1,223.30 = 328.68 : x
  2. Step 2: Convert to fraction form
    815.76/1,223.30 = 328.68/x
  3. Step 3: Cross multiply
    815.76x = 1,223.30 × 328.68
  4. Step 4: Simplify right side
    815.76x = 402,075.07
  5. Step 5: Solve for x
    x = 402,075.07/815.76
  6. Step 6: Final answer
    x = 492.88

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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.