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Finding the Fourth Proportional to 578.07, 865.76 and 404.91

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Solution

The fourth proportional to 578.07, 865.76 and 404.91 is: 606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.07 : 865.76 = 404.91 : x
  2. Step 2: Convert to fraction form
    578.07/865.76 = 404.91/x
  3. Step 3: Cross multiply
    578.07x = 865.76 × 404.91
  4. Step 4: Simplify right side
    578.07x = 350,552.86
  5. Step 5: Solve for x
    x = 350,552.86/578.07
  6. Step 6: Final answer
    x = 606.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.