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Finding the Fourth Proportional to 488.53, 673.68 and 322.57

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Solution

The fourth proportional to 488.53, 673.68 and 322.57 is: 444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.53 : 673.68 = 322.57 : x
  2. Step 2: Convert to fraction form
    488.53/673.68 = 322.57/x
  3. Step 3: Cross multiply
    488.53x = 673.68 × 322.57
  4. Step 4: Simplify right side
    488.53x = 217,308.96
  5. Step 5: Solve for x
    x = 217,308.96/488.53
  6. Step 6: Final answer
    x = 444.82

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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.