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Finding the Fourth Proportional to 647.01, 892.86 and 352.28

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Solution

The fourth proportional to 647.01, 892.86 and 352.28 is: 486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.01 : 892.86 = 352.28 : x
  2. Step 2: Convert to fraction form
    647.01/892.86 = 352.28/x
  3. Step 3: Cross multiply
    647.01x = 892.86 × 352.28
  4. Step 4: Simplify right side
    647.01x = 314,532.26
  5. Step 5: Solve for x
    x = 314,532.26/647.01
  6. Step 6: Final answer
    x = 486.13

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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.