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Finding the Fourth Proportional to 410.64, 566.62 and 233.57

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Solution

The fourth proportional to 410.64, 566.62 and 233.57 is: 322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.64 : 566.62 = 233.57 : x
  2. Step 2: Convert to fraction form
    410.64/566.62 = 233.57/x
  3. Step 3: Cross multiply
    410.64x = 566.62 × 233.57
  4. Step 4: Simplify right side
    410.64x = 132,342.60
  5. Step 5: Solve for x
    x = 132,342.60/410.64
  6. Step 6: Final answer
    x = 322.29

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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.