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Finding the Fourth Proportional to 647.76, 893.90 and 353.02

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Solution

The fourth proportional to 647.76, 893.90 and 353.02 is: 487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.76 : 893.90 = 353.02 : x
  2. Step 2: Convert to fraction form
    647.76/893.90 = 353.02/x
  3. Step 3: Cross multiply
    647.76x = 893.90 × 353.02
  4. Step 4: Simplify right side
    647.76x = 315,564.58
  5. Step 5: Solve for x
    x = 315,564.58/647.76
  6. Step 6: Final answer
    x = 487.16

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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.