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Finding the Fourth Proportional to 322.59, 484.05 and 176.45

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Solution

The fourth proportional to 322.59, 484.05 and 176.45 is: 264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.59 : 484.05 = 176.45 : x
  2. Step 2: Convert to fraction form
    322.59/484.05 = 176.45/x
  3. Step 3: Cross multiply
    322.59x = 484.05 × 176.45
  4. Step 4: Simplify right side
    322.59x = 85,408.20
  5. Step 5: Solve for x
    x = 85,408.20/322.59
  6. Step 6: Final answer
    x = 264.76

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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.