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Finding the Fourth Proportional to 469.14, 647.42 and 259.30

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Solution

The fourth proportional to 469.14, 647.42 and 259.30 is: 357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.14 : 647.42 = 259.30 : x
  2. Step 2: Convert to fraction form
    469.14/647.42 = 259.30/x
  3. Step 3: Cross multiply
    469.14x = 647.42 × 259.30
  4. Step 4: Simplify right side
    469.14x = 167,876.01
  5. Step 5: Solve for x
    x = 167,876.01/469.14
  6. Step 6: Final answer
    x = 357.84

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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.