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Finding the Fourth Proportional to 302.36, 416.82 and 253.04

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Solution

The fourth proportional to 302.36, 416.82 and 253.04 is: 348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.36 : 416.82 = 253.04 : x
  2. Step 2: Convert to fraction form
    302.36/416.82 = 253.04/x
  3. Step 3: Cross multiply
    302.36x = 416.82 × 253.04
  4. Step 4: Simplify right side
    302.36x = 105,472.13
  5. Step 5: Solve for x
    x = 105,472.13/302.36
  6. Step 6: Final answer
    x = 348.83

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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.