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Finding the Fourth Proportional to 410.55, 566.60 and 233.52

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Solution

The fourth proportional to 410.55, 566.60 and 233.52 is: 322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.55 : 566.60 = 233.52 : x
  2. Step 2: Convert to fraction form
    410.55/566.60 = 233.52/x
  3. Step 3: Cross multiply
    410.55x = 566.60 × 233.52
  4. Step 4: Simplify right side
    410.55x = 132,311.26
  5. Step 5: Solve for x
    x = 132,311.26/410.55
  6. Step 6: Final answer
    x = 322.28

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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.