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Finding the Fourth Proportional to 279.72, 416.88 and 277.02

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Solution

The fourth proportional to 279.72, 416.88 and 277.02 is: 412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.72 : 416.88 = 277.02 : x
  2. Step 2: Convert to fraction form
    279.72/416.88 = 277.02/x
  3. Step 3: Cross multiply
    279.72x = 416.88 × 277.02
  4. Step 4: Simplify right side
    279.72x = 115,484.10
  5. Step 5: Solve for x
    x = 115,484.10/279.72
  6. Step 6: Final answer
    x = 412.86

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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.