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Finding the Fourth Proportional to 410.67, 566.61 and 263.04

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Solution

The fourth proportional to 410.67, 566.61 and 263.04 is: 362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.67 : 566.61 = 263.04 : x
  2. Step 2: Convert to fraction form
    410.67/566.61 = 263.04/x
  3. Step 3: Cross multiply
    410.67x = 566.61 × 263.04
  4. Step 4: Simplify right side
    410.67x = 149,041.09
  5. Step 5: Solve for x
    x = 149,041.09/410.67
  6. Step 6: Final answer
    x = 362.92

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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.