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Finding the Fourth Proportional to 578.94, 798.91 and 316.97

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Solution

The fourth proportional to 578.94, 798.91 and 316.97 is: 437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.94 : 798.91 = 316.97 : x
  2. Step 2: Convert to fraction form
    578.94/798.91 = 316.97/x
  3. Step 3: Cross multiply
    578.94x = 798.91 × 316.97
  4. Step 4: Simplify right side
    578.94x = 253,230.50
  5. Step 5: Solve for x
    x = 253,230.50/578.94
  6. Step 6: Final answer
    x = 437.40

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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.