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Finding the Fourth Proportional to 578.92, 798.88 and 316.95

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Solution

The fourth proportional to 578.92, 798.88 and 316.95 is: 437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.92 : 798.88 = 316.95 : x
  2. Step 2: Convert to fraction form
    578.92/798.88 = 316.95/x
  3. Step 3: Cross multiply
    578.92x = 798.88 × 316.95
  4. Step 4: Simplify right side
    578.92x = 253,205.02
  5. Step 5: Solve for x
    x = 253,205.02/578.92
  6. Step 6: Final answer
    x = 437.37

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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.