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Finding the Fourth Proportional to 410.55, 566.55 and 263.22

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Solution

The fourth proportional to 410.55, 566.55 and 263.22 is: 363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.55 : 566.55 = 263.22 : x
  2. Step 2: Convert to fraction form
    410.55/566.55 = 263.22/x
  3. Step 3: Cross multiply
    410.55x = 566.55 × 263.22
  4. Step 4: Simplify right side
    410.55x = 149,127.29
  5. Step 5: Solve for x
    x = 149,127.29/410.55
  6. Step 6: Final answer
    x = 363.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.