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Finding the Fourth Proportional to 279.20, 416.58 and 253.23

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Solution

The fourth proportional to 279.20, 416.58 and 253.23 is: 377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.20 : 416.58 = 253.23 : x
  2. Step 2: Convert to fraction form
    279.20/416.58 = 253.23/x
  3. Step 3: Cross multiply
    279.20x = 416.58 × 253.23
  4. Step 4: Simplify right side
    279.20x = 105,490.55
  5. Step 5: Solve for x
    x = 105,490.55/279.20
  6. Step 6: Final answer
    x = 377.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.