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Finding the Fourth Proportional to 647.06, 892.95 and 352.34

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Solution

The fourth proportional to 647.06, 892.95 and 352.34 is: 486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.06 : 892.95 = 352.34 : x
  2. Step 2: Convert to fraction form
    647.06/892.95 = 352.34/x
  3. Step 3: Cross multiply
    647.06x = 892.95 × 352.34
  4. Step 4: Simplify right side
    647.06x = 314,623.07
  5. Step 5: Solve for x
    x = 314,623.07/647.06
  6. Step 6: Final answer
    x = 486.24

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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.