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Finding the Fourth Proportional to 647.78, 894.05 and 385.74

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Solution

The fourth proportional to 647.78, 894.05 and 385.74 is: 532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.78 : 894.05 = 385.74 : x
  2. Step 2: Convert to fraction form
    647.78/894.05 = 385.74/x
  3. Step 3: Cross multiply
    647.78x = 894.05 × 385.74
  4. Step 4: Simplify right side
    647.78x = 344,868.92
  5. Step 5: Solve for x
    x = 344,868.92/647.78
  6. Step 6: Final answer
    x = 532.39

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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.