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Finding the Fourth Proportional to 578.78, 865.73 and 358.86

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Solution

The fourth proportional to 578.78, 865.73 and 358.86 is: 536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.78 : 865.73 = 358.86 : x
  2. Step 2: Convert to fraction form
    578.78/865.73 = 358.86/x
  3. Step 3: Cross multiply
    578.78x = 865.73 × 358.86
  4. Step 4: Simplify right side
    578.78x = 310,674.07
  5. Step 5: Solve for x
    x = 310,674.07/578.78
  6. Step 6: Final answer
    x = 536.78

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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.