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Finding the Fourth Proportional to 647.89, 894.08 and 353.14

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Solution

The fourth proportional to 647.89, 894.08 and 353.14 is: 487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.89 : 894.08 = 353.14 : x
  2. Step 2: Convert to fraction form
    647.89/894.08 = 353.14/x
  3. Step 3: Cross multiply
    647.89x = 894.08 × 353.14
  4. Step 4: Simplify right side
    647.89x = 315,729.18
  5. Step 5: Solve for x
    x = 315,729.18/647.89
  6. Step 6: Final answer
    x = 487.32

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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.