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Finding the Fourth Proportional to 806.40, 1,208.80 and 416.59

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Solution

The fourth proportional to 806.40, 1,208.80 and 416.59 is: 624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.40 : 1,208.80 = 416.59 : x
  2. Step 2: Convert to fraction form
    806.40/1,208.80 = 416.59/x
  3. Step 3: Cross multiply
    806.40x = 1,208.80 × 416.59
  4. Step 4: Simplify right side
    806.40x = 503,573.99
  5. Step 5: Solve for x
    x = 503,573.99/806.40
  6. Step 6: Final answer
    x = 624.47

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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.