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Finding the Fourth Proportional to 333.54, 460.47 and 215.69

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Solution

The fourth proportional to 333.54, 460.47 and 215.69 is: 297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.54 : 460.47 = 215.69 : x
  2. Step 2: Convert to fraction form
    333.54/460.47 = 215.69/x
  3. Step 3: Cross multiply
    333.54x = 460.47 × 215.69
  4. Step 4: Simplify right side
    333.54x = 99,316.47
  5. Step 5: Solve for x
    x = 99,316.47/333.54
  6. Step 6: Final answer
    x = 297.76

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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.