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Finding the Fourth Proportional to 333.61, 460.35 and 215.75

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Solution

The fourth proportional to 333.61, 460.35 and 215.75 is: 297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.61 : 460.35 = 215.75 : x
  2. Step 2: Convert to fraction form
    333.61/460.35 = 215.75/x
  3. Step 3: Cross multiply
    333.61x = 460.35 × 215.75
  4. Step 4: Simplify right side
    333.61x = 99,320.51
  5. Step 5: Solve for x
    x = 99,320.51/333.61
  6. Step 6: Final answer
    x = 297.71

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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.