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Finding the Fourth Proportional to 488.70, 733.14 and 412.38

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Solution

The fourth proportional to 488.70, 733.14 and 412.38 is: 618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.70 : 733.14 = 412.38 : x
  2. Step 2: Convert to fraction form
    488.70/733.14 = 412.38/x
  3. Step 3: Cross multiply
    488.70x = 733.14 × 412.38
  4. Step 4: Simplify right side
    488.70x = 302,332.27
  5. Step 5: Solve for x
    x = 302,332.27/488.70
  6. Step 6: Final answer
    x = 618.65

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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.