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Finding the Fourth Proportional to 647.89, 894.11 and 382.35

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Solution

The fourth proportional to 647.89, 894.11 and 382.35 is: 527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.89 : 894.11 = 382.35 : x
  2. Step 2: Convert to fraction form
    647.89/894.11 = 382.35/x
  3. Step 3: Cross multiply
    647.89x = 894.11 × 382.35
  4. Step 4: Simplify right side
    647.89x = 341,856.58
  5. Step 5: Solve for x
    x = 341,856.58/647.89
  6. Step 6: Final answer
    x = 527.65

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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.