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Finding the Fourth Proportional to 487.94, 733.74 and 415.04

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Solution

The fourth proportional to 487.94, 733.74 and 415.04 is: 624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.94 : 733.74 = 415.04 : x
  2. Step 2: Convert to fraction form
    487.94/733.74 = 415.04/x
  3. Step 3: Cross multiply
    487.94x = 733.74 × 415.04
  4. Step 4: Simplify right side
    487.94x = 304,531.45
  5. Step 5: Solve for x
    x = 304,531.45/487.94
  6. Step 6: Final answer
    x = 624.12

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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.