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Finding the Fourth Proportional to 469.06, 647.31 and 294.42

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Solution

The fourth proportional to 469.06, 647.31 and 294.42 is: 406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.06 : 647.31 = 294.42 : x
  2. Step 2: Convert to fraction form
    469.06/647.31 = 294.42/x
  3. Step 3: Cross multiply
    469.06x = 647.31 × 294.42
  4. Step 4: Simplify right side
    469.06x = 190,581.01
  5. Step 5: Solve for x
    x = 190,581.01/469.06
  6. Step 6: Final answer
    x = 406.30

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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.