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Finding the Fourth Proportional to 469.14, 647.34 and 259.29

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Solution

The fourth proportional to 469.14, 647.34 and 259.29 is: 357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.14 : 647.34 = 259.29 : x
  2. Step 2: Convert to fraction form
    469.14/647.34 = 259.29/x
  3. Step 3: Cross multiply
    469.14x = 647.34 × 259.29
  4. Step 4: Simplify right side
    469.14x = 167,848.79
  5. Step 5: Solve for x
    x = 167,848.79/469.14
  6. Step 6: Final answer
    x = 357.78

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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.