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Finding the Fourth Proportional to 410.52, 566.34 and 263.10

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Solution

The fourth proportional to 410.52, 566.34 and 263.10 is: 362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.52 : 566.34 = 263.10 : x
  2. Step 2: Convert to fraction form
    410.52/566.34 = 263.10/x
  3. Step 3: Cross multiply
    410.52x = 566.34 × 263.10
  4. Step 4: Simplify right side
    410.52x = 149,004.05
  5. Step 5: Solve for x
    x = 149,004.05/410.52
  6. Step 6: Final answer
    x = 362.96

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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.