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Finding the Fourth Proportional to 321.60, 482.24 and 193.12

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Solution

The fourth proportional to 321.60, 482.24 and 193.12 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.60 : 482.24 = 193.12 : x
  2. Step 2: Convert to fraction form
    321.60/482.24 = 193.12/x
  3. Step 3: Cross multiply
    321.60x = 482.24 × 193.12
  4. Step 4: Simplify right side
    321.60x = 93,130.19
  5. Step 5: Solve for x
    x = 93,130.19/321.60
  6. Step 6: Final answer
    x = 289.58

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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.