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Finding the Fourth Proportional to 410.50, 566.46 and 235.84

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Solution

The fourth proportional to 410.50, 566.46 and 235.84 is: 325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.50 : 566.46 = 235.84 : x
  2. Step 2: Convert to fraction form
    410.50/566.46 = 235.84/x
  3. Step 3: Cross multiply
    410.50x = 566.46 × 235.84
  4. Step 4: Simplify right side
    410.50x = 133,593.93
  5. Step 5: Solve for x
    x = 133,593.93/410.50
  6. Step 6: Final answer
    x = 325.44

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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.