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Finding the Fourth Proportional to 302.28, 416.71 and 214.80

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Solution

The fourth proportional to 302.28, 416.71 and 214.80 is: 296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.28 : 416.71 = 214.80 : x
  2. Step 2: Convert to fraction form
    302.28/416.71 = 214.80/x
  3. Step 3: Cross multiply
    302.28x = 416.71 × 214.80
  4. Step 4: Simplify right side
    302.28x = 89,509.31
  5. Step 5: Solve for x
    x = 89,509.31/302.28
  6. Step 6: Final answer
    x = 296.11

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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.