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Finding the Fourth Proportional to 647.79, 893.92 and 353.06

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Solution

The fourth proportional to 647.79, 893.92 and 353.06 is: 487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.79 : 893.92 = 353.06 : x
  2. Step 2: Convert to fraction form
    647.79/893.92 = 353.06/x
  3. Step 3: Cross multiply
    647.79x = 893.92 × 353.06
  4. Step 4: Simplify right side
    647.79x = 315,607.40
  5. Step 5: Solve for x
    x = 315,607.40/647.79
  6. Step 6: Final answer
    x = 487.21

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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.