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Finding the Fourth Proportional to 302.38, 416.54 and 253.24

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Solution

The fourth proportional to 302.38, 416.54 and 253.24 is: 348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.38 : 416.54 = 253.24 : x
  2. Step 2: Convert to fraction form
    302.38/416.54 = 253.24/x
  3. Step 3: Cross multiply
    302.38x = 416.54 × 253.24
  4. Step 4: Simplify right side
    302.38x = 105,484.59
  5. Step 5: Solve for x
    x = 105,484.59/302.38
  6. Step 6: Final answer
    x = 348.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.