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Finding the Fourth Proportional to 595.34, 892.38 and 306.80

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Solution

The fourth proportional to 595.34, 892.38 and 306.80 is: 459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.34 : 892.38 = 306.80 : x
  2. Step 2: Convert to fraction form
    595.34/892.38 = 306.80/x
  3. Step 3: Cross multiply
    595.34x = 892.38 × 306.80
  4. Step 4: Simplify right side
    595.34x = 273,782.18
  5. Step 5: Solve for x
    x = 273,782.18/595.34
  6. Step 6: Final answer
    x = 459.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.