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Finding the Fourth Proportional to 578.80, 798.75 and 316.82

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Solution

The fourth proportional to 578.80, 798.75 and 316.82 is: 437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.80 : 798.75 = 316.82 : x
  2. Step 2: Convert to fraction form
    578.80/798.75 = 316.82/x
  3. Step 3: Cross multiply
    578.80x = 798.75 × 316.82
  4. Step 4: Simplify right side
    578.80x = 253,054.40
  5. Step 5: Solve for x
    x = 253,054.40/578.80
  6. Step 6: Final answer
    x = 437.21

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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.