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Finding the Fourth Proportional to 333.06, 459.54 and 215.07

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Solution

The fourth proportional to 333.06, 459.54 and 215.07 is: 296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.06 : 459.54 = 215.07 : x
  2. Step 2: Convert to fraction form
    333.06/459.54 = 215.07/x
  3. Step 3: Cross multiply
    333.06x = 459.54 × 215.07
  4. Step 4: Simplify right side
    333.06x = 98,833.27
  5. Step 5: Solve for x
    x = 98,833.27/333.06
  6. Step 6: Final answer
    x = 296.74

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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.