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Finding the Fourth Proportional to 578.63, 798.71 and 345.75

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Solution

The fourth proportional to 578.63, 798.71 and 345.75 is: 477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.63 : 798.71 = 345.75 : x
  2. Step 2: Convert to fraction form
    578.63/798.71 = 345.75/x
  3. Step 3: Cross multiply
    578.63x = 798.71 × 345.75
  4. Step 4: Simplify right side
    578.63x = 276,153.98
  5. Step 5: Solve for x
    x = 276,153.98/578.63
  6. Step 6: Final answer
    x = 477.25

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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.