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Finding the Fourth Proportional to 410.13, 566.01 and 233.10

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Solution

The fourth proportional to 410.13, 566.01 and 233.10 is: 321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.13 : 566.01 = 233.10 : x
  2. Step 2: Convert to fraction form
    410.13/566.01 = 233.10/x
  3. Step 3: Cross multiply
    410.13x = 566.01 × 233.10
  4. Step 4: Simplify right side
    410.13x = 131,936.93
  5. Step 5: Solve for x
    x = 131,936.93/410.13
  6. Step 6: Final answer
    x = 321.70

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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.