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Finding the Fourth Proportional to 578.86, 798.32 and 382.16

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Solution

The fourth proportional to 578.86, 798.32 and 382.16 is: 527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.86 : 798.32 = 382.16 : x
  2. Step 2: Convert to fraction form
    578.86/798.32 = 382.16/x
  3. Step 3: Cross multiply
    578.86x = 798.32 × 382.16
  4. Step 4: Simplify right side
    578.86x = 305,085.97
  5. Step 5: Solve for x
    x = 305,085.97/578.86
  6. Step 6: Final answer
    x = 527.05

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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.