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Finding the Fourth Proportional to 279.64, 417.23 and 261.16

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Solution

The fourth proportional to 279.64, 417.23 and 261.16 is: 389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.64 : 417.23 = 261.16 : x
  2. Step 2: Convert to fraction form
    279.64/417.23 = 261.16/x
  3. Step 3: Cross multiply
    279.64x = 417.23 × 261.16
  4. Step 4: Simplify right side
    279.64x = 108,963.79
  5. Step 5: Solve for x
    x = 108,963.79/279.64
  6. Step 6: Final answer
    x = 389.66

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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.