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Finding the Fourth Proportional to 279.81, 416.72 and 263.25

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Solution

The fourth proportional to 279.81, 416.72 and 263.25 is: 392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.81 : 416.72 = 263.25 : x
  2. Step 2: Convert to fraction form
    279.81/416.72 = 263.25/x
  3. Step 3: Cross multiply
    279.81x = 416.72 × 263.25
  4. Step 4: Simplify right side
    279.81x = 109,702.20
  5. Step 5: Solve for x
    x = 109,702.20/279.81
  6. Step 6: Final answer
    x = 392.06

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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.