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Finding the Fourth Proportional to 302.13, 416.14 and 277.83

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Solution

The fourth proportional to 302.13, 416.14 and 277.83 is: 382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.13 : 416.14 = 277.83 : x
  2. Step 2: Convert to fraction form
    302.13/416.14 = 277.83/x
  3. Step 3: Cross multiply
    302.13x = 416.14 × 277.83
  4. Step 4: Simplify right side
    302.13x = 115,615.48
  5. Step 5: Solve for x
    x = 115,615.48/302.13
  6. Step 6: Final answer
    x = 382.67

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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.