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Finding the Fourth Proportional to 333.22, 459.60 and 215.22

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Solution

The fourth proportional to 333.22, 459.60 and 215.22 is: 296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.22 : 459.60 = 215.22 : x
  2. Step 2: Convert to fraction form
    333.22/459.60 = 215.22/x
  3. Step 3: Cross multiply
    333.22x = 459.60 × 215.22
  4. Step 4: Simplify right side
    333.22x = 98,915.11
  5. Step 5: Solve for x
    x = 98,915.11/333.22
  6. Step 6: Final answer
    x = 296.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.