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Finding the Fourth Proportional to 410.99, 568.00 and 306.43

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Solution

The fourth proportional to 410.99, 568.00 and 306.43 is: 423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.99 : 568.00 = 306.43 : x
  2. Step 2: Convert to fraction form
    410.99/568.00 = 306.43/x
  3. Step 3: Cross multiply
    410.99x = 568.00 × 306.43
  4. Step 4: Simplify right side
    410.99x = 174,052.67
  5. Step 5: Solve for x
    x = 174,052.67/410.99
  6. Step 6: Final answer
    x = 423.50

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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.