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Finding the Fourth Proportional to 488.16, 673.56 and 288.96

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Solution

The fourth proportional to 488.16, 673.56 and 288.96 is: 398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.16 : 673.56 = 288.96 : x
  2. Step 2: Convert to fraction form
    488.16/673.56 = 288.96/x
  3. Step 3: Cross multiply
    488.16x = 673.56 × 288.96
  4. Step 4: Simplify right side
    488.16x = 194,631.90
  5. Step 5: Solve for x
    x = 194,631.90/488.16
  6. Step 6: Final answer
    x = 398.71

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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.