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Finding the Fourth Proportional to 410.18, 566.06 and 233.14

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Solution

The fourth proportional to 410.18, 566.06 and 233.14 is: 321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.18 : 566.06 = 233.14 : x
  2. Step 2: Convert to fraction form
    410.18/566.06 = 233.14/x
  3. Step 3: Cross multiply
    410.18x = 566.06 × 233.14
  4. Step 4: Simplify right side
    410.18x = 131,970.40
  5. Step 5: Solve for x
    x = 131,970.40/410.18
  6. Step 6: Final answer
    x = 321.74

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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.