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Finding the Fourth Proportional to 469.30, 647.37 and 294.34

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Solution

The fourth proportional to 469.30, 647.37 and 294.34 is: 406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.30 : 647.37 = 294.34 : x
  2. Step 2: Convert to fraction form
    469.30/647.37 = 294.34/x
  3. Step 3: Cross multiply
    469.30x = 647.37 × 294.34
  4. Step 4: Simplify right side
    469.30x = 190,546.89
  5. Step 5: Solve for x
    x = 190,546.89/469.30
  6. Step 6: Final answer
    x = 406.02

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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.