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Finding the Fourth Proportional to 333.72, 460.59 and 215.84

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Solution

The fourth proportional to 333.72, 460.59 and 215.84 is: 297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.72 : 460.59 = 215.84 : x
  2. Step 2: Convert to fraction form
    333.72/460.59 = 215.84/x
  3. Step 3: Cross multiply
    333.72x = 460.59 × 215.84
  4. Step 4: Simplify right side
    333.72x = 99,413.75
  5. Step 5: Solve for x
    x = 99,413.75/333.72
  6. Step 6: Final answer
    x = 297.90

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Why These Related Problems?

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