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Finding the Fourth Proportional to 578.63, 798.51 and 404.07

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Solution

The fourth proportional to 578.63, 798.51 and 404.07 is: 557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.63 : 798.51 = 404.07 : x
  2. Step 2: Convert to fraction form
    578.63/798.51 = 404.07/x
  3. Step 3: Cross multiply
    578.63x = 798.51 × 404.07
  4. Step 4: Simplify right side
    578.63x = 322,653.94
  5. Step 5: Solve for x
    x = 322,653.94/578.63
  6. Step 6: Final answer
    x = 557.62

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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.