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Finding the Fourth Proportional to 410.58, 566.68 and 233.55

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Solution

The fourth proportional to 410.58, 566.68 and 233.55 is: 322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.58 : 566.68 = 233.55 : x
  2. Step 2: Convert to fraction form
    410.58/566.68 = 233.55/x
  3. Step 3: Cross multiply
    410.58x = 566.68 × 233.55
  4. Step 4: Simplify right side
    410.58x = 132,348.11
  5. Step 5: Solve for x
    x = 132,348.11/410.58
  6. Step 6: Final answer
    x = 322.34

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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.