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Finding the Fourth Proportional to 410.63, 566.28 and 261.23

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Solution

The fourth proportional to 410.63, 566.28 and 261.23 is: 360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.63 : 566.28 = 261.23 : x
  2. Step 2: Convert to fraction form
    410.63/566.28 = 261.23/x
  3. Step 3: Cross multiply
    410.63x = 566.28 × 261.23
  4. Step 4: Simplify right side
    410.63x = 147,926.49
  5. Step 5: Solve for x
    x = 147,926.49/410.63
  6. Step 6: Final answer
    x = 360.25

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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.