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Finding the Fourth Proportional to 815.48, 1,223.60 and 328.84

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Solution

The fourth proportional to 815.48, 1,223.60 and 328.84 is: 493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.48 : 1,223.60 = 328.84 : x
  2. Step 2: Convert to fraction form
    815.48/1,223.60 = 328.84/x
  3. Step 3: Cross multiply
    815.48x = 1,223.60 × 328.84
  4. Step 4: Simplify right side
    815.48x = 402,368.62
  5. Step 5: Solve for x
    x = 402,368.62/815.48
  6. Step 6: Final answer
    x = 493.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.