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Finding the Fourth Proportional to 302.45, 416.48 and 253.25

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Solution

The fourth proportional to 302.45, 416.48 and 253.25 is: 348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.45 : 416.48 = 253.25 : x
  2. Step 2: Convert to fraction form
    302.45/416.48 = 253.25/x
  3. Step 3: Cross multiply
    302.45x = 416.48 × 253.25
  4. Step 4: Simplify right side
    302.45x = 105,470.21
  5. Step 5: Solve for x
    x = 105,470.21/302.45
  6. Step 6: Final answer
    x = 348.73

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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.