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Finding the Fourth Proportional to 578.36, 798.32 and 412.31

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Solution

The fourth proportional to 578.36, 798.32 and 412.31 is: 569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.36 : 798.32 = 412.31 : x
  2. Step 2: Convert to fraction form
    578.36/798.32 = 412.31/x
  3. Step 3: Cross multiply
    578.36x = 798.32 × 412.31
  4. Step 4: Simplify right side
    578.36x = 329,155.32
  5. Step 5: Solve for x
    x = 329,155.32/578.36
  6. Step 6: Final answer
    x = 569.12

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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.