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Finding the Fourth Proportional to 410.85, 567.00 and 233.77

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Solution

The fourth proportional to 410.85, 567.00 and 233.77 is: 322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.85 : 567.00 = 233.77 : x
  2. Step 2: Convert to fraction form
    410.85/567.00 = 233.77/x
  3. Step 3: Cross multiply
    410.85x = 567.00 × 233.77
  4. Step 4: Simplify right side
    410.85x = 132,546.42
  5. Step 5: Solve for x
    x = 132,546.42/410.85
  6. Step 6: Final answer
    x = 322.62

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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.