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Finding the Fourth Proportional to 488.81, 673.02 and 414.96

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Solution

The fourth proportional to 488.81, 673.02 and 414.96 is: 571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.81 : 673.02 = 414.96 : x
  2. Step 2: Convert to fraction form
    488.81/673.02 = 414.96/x
  3. Step 3: Cross multiply
    488.81x = 673.02 × 414.96
  4. Step 4: Simplify right side
    488.81x = 279,276.38
  5. Step 5: Solve for x
    x = 279,276.38/488.81
  6. Step 6: Final answer
    x = 571.35

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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.