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Finding the Fourth Proportional to 488.54, 673.99 and 292.06

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Solution

The fourth proportional to 488.54, 673.99 and 292.06 is: 402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.54 : 673.99 = 292.06 : x
  2. Step 2: Convert to fraction form
    488.54/673.99 = 292.06/x
  3. Step 3: Cross multiply
    488.54x = 673.99 × 292.06
  4. Step 4: Simplify right side
    488.54x = 196,845.52
  5. Step 5: Solve for x
    x = 196,845.52/488.54
  6. Step 6: Final answer
    x = 402.93

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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.