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Finding the Fourth Proportional to 488.61, 733.01 and 419.94

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Solution

The fourth proportional to 488.61, 733.01 and 419.94 is: 629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.61 : 733.01 = 419.94 : x
  2. Step 2: Convert to fraction form
    488.61/733.01 = 419.94/x
  3. Step 3: Cross multiply
    488.61x = 733.01 × 419.94
  4. Step 4: Simplify right side
    488.61x = 307,818.12
  5. Step 5: Solve for x
    x = 307,818.12/488.61
  6. Step 6: Final answer
    x = 629.99

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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.