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Finding the Fourth Proportional to 410.14, 566.21 and 263.02

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Solution

The fourth proportional to 410.14, 566.21 and 263.02 is: 363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.14 : 566.21 = 263.02 : x
  2. Step 2: Convert to fraction form
    410.14/566.21 = 263.02/x
  3. Step 3: Cross multiply
    410.14x = 566.21 × 263.02
  4. Step 4: Simplify right side
    410.14x = 148,924.55
  5. Step 5: Solve for x
    x = 148,924.55/410.14
  6. Step 6: Final answer
    x = 363.11

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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.