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Finding the Fourth Proportional to 578.67, 798.45 and 368.47

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Solution

The fourth proportional to 578.67, 798.45 and 368.47 is: 508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 798.45 = 368.47 : x
  2. Step 2: Convert to fraction form
    578.67/798.45 = 368.47/x
  3. Step 3: Cross multiply
    578.67x = 798.45 × 368.47
  4. Step 4: Simplify right side
    578.67x = 294,204.87
  5. Step 5: Solve for x
    x = 294,204.87/578.67
  6. Step 6: Final answer
    x = 508.42

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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.