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Finding the Fourth Proportional to 469.23, 647.43 and 294.47

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Solution

The fourth proportional to 469.23, 647.43 and 294.47 is: 406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.23 : 647.43 = 294.47 : x
  2. Step 2: Convert to fraction form
    469.23/647.43 = 294.47/x
  3. Step 3: Cross multiply
    469.23x = 647.43 × 294.47
  4. Step 4: Simplify right side
    469.23x = 190,646.80
  5. Step 5: Solve for x
    x = 190,646.80/469.23
  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.